Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [56,3,Mod(5,56)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(56, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("56.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 56 = 2^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 56.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.52588948042\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Character | \(\chi\) | \(=\) | 56.5 |
Dual form | 56.3.j.a.45.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/56\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(29\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97030 | + | 0.343404i | −0.985149 | + | 0.171702i | ||||
\(3\) | −1.94818 | − | 3.37434i | −0.649392 | − | 1.12478i | −0.983268 | − | 0.182163i | \(-0.941690\pi\) |
0.333876 | − | 0.942617i | \(-0.391643\pi\) | |||||||
\(4\) | 3.76415 | − | 1.35322i | 0.941037 | − | 0.338304i | ||||
\(5\) | −4.42985 | + | 7.67272i | −0.885969 | + | 1.53454i | −0.0413705 | + | 0.999144i | \(0.513172\pi\) |
−0.844599 | + | 0.535400i | \(0.820161\pi\) | |||||||
\(6\) | 4.99725 | + | 5.97944i | 0.832875 | + | 0.996574i | ||||
\(7\) | −6.92329 | + | 1.03347i | −0.989041 | + | 0.147638i | ||||
\(8\) | −6.95179 | + | 3.95886i | −0.868974 | + | 0.494858i | ||||
\(9\) | −3.09078 | + | 5.35338i | −0.343420 | + | 0.594820i | ||||
\(10\) | 6.09327 | − | 16.6388i | 0.609327 | − | 1.66388i | ||||
\(11\) | −3.15749 | + | 1.82298i | −0.287045 | + | 0.165725i | −0.636608 | − | 0.771187i | \(-0.719663\pi\) |
0.349564 | + | 0.936913i | \(0.386330\pi\) | |||||||
\(12\) | −11.8994 | − | 10.0652i | −0.991619 | − | 0.838767i | ||||
\(13\) | −7.79378 | −0.599522 | −0.299761 | − | 0.954014i | \(-0.596907\pi\) | ||||
−0.299761 | + | 0.954014i | \(0.596907\pi\) | |||||||
\(14\) | 13.2860 | − | 4.41373i | 0.949003 | − | 0.315266i | ||||
\(15\) | 34.5205 | 2.30136 | ||||||||
\(16\) | 12.3376 | − | 10.1874i | 0.771101 | − | 0.636713i | ||||
\(17\) | −9.07152 | + | 5.23744i | −0.533619 | + | 0.308085i | −0.742489 | − | 0.669858i | \(-0.766355\pi\) |
0.208870 | + | 0.977943i | \(0.433021\pi\) | |||||||
\(18\) | 4.25138 | − | 11.6091i | 0.236188 | − | 0.644952i | ||||
\(19\) | 5.39264 | − | 9.34032i | 0.283823 | − | 0.491596i | −0.688500 | − | 0.725236i | \(-0.741731\pi\) |
0.972323 | + | 0.233640i | \(0.0750639\pi\) | |||||||
\(20\) | −6.29174 | + | 34.8758i | −0.314587 | + | 1.74379i | ||||
\(21\) | 16.9751 | + | 21.3482i | 0.808336 | + | 1.01658i | ||||
\(22\) | 5.59518 | − | 4.67610i | 0.254326 | − | 0.212550i | ||||
\(23\) | 6.45553 | − | 11.1813i | 0.280675 | − | 0.486144i | −0.690876 | − | 0.722973i | \(-0.742775\pi\) |
0.971551 | + | 0.236829i | \(0.0761083\pi\) | |||||||
\(24\) | 26.9019 | + | 15.7451i | 1.12091 | + | 0.656047i | ||||
\(25\) | −26.7471 | − | 46.3273i | −1.06988 | − | 1.85309i | ||||
\(26\) | 15.3561 | − | 2.67642i | 0.590618 | − | 0.102939i | ||||
\(27\) | −10.9817 | −0.406728 | ||||||||
\(28\) | −24.6618 | + | 13.2588i | −0.880778 | + | 0.473530i | ||||
\(29\) | − | 17.2327i | − | 0.594231i | −0.954842 | − | 0.297115i | \(-0.903975\pi\) | ||
0.954842 | − | 0.297115i | \(-0.0960246\pi\) | |||||||
\(30\) | −68.0156 | + | 11.8545i | −2.26719 | + | 0.395149i | ||||
\(31\) | −26.1797 | + | 15.1148i | −0.844505 | + | 0.487575i | −0.858793 | − | 0.512323i | \(-0.828785\pi\) |
0.0142878 | + | 0.999898i | \(0.495452\pi\) | |||||||
\(32\) | −20.8104 | + | 24.3090i | −0.650324 | + | 0.759657i | ||||
\(33\) | 12.3027 | + | 7.10296i | 0.372809 | + | 0.215241i | ||||
\(34\) | 16.0750 | − | 13.4345i | 0.472795 | − | 0.395133i | ||||
\(35\) | 22.7396 | − | 57.6986i | 0.649703 | − | 1.64853i | ||||
\(36\) | −4.38985 | + | 24.3334i | −0.121940 | + | 0.675928i | ||||
\(37\) | 34.2810 | + | 19.7922i | 0.926515 | + | 0.534924i | 0.885708 | − | 0.464244i | \(-0.153674\pi\) |
0.0408071 | + | 0.999167i | \(0.487007\pi\) | |||||||
\(38\) | −7.41760 | + | 20.2551i | −0.195200 | + | 0.533028i | ||||
\(39\) | 15.1837 | + | 26.2989i | 0.389324 | + | 0.674330i | ||||
\(40\) | 0.420114 | − | 70.8763i | 0.0105029 | − | 1.77191i | ||||
\(41\) | 73.6801i | 1.79707i | 0.438897 | + | 0.898537i | \(0.355369\pi\) | ||||
−0.438897 | + | 0.898537i | \(0.644631\pi\) | |||||||
\(42\) | −40.7770 | − | 36.2329i | −0.970880 | − | 0.862688i | ||||
\(43\) | 40.8501i | 0.950002i | 0.879985 | + | 0.475001i | \(0.157552\pi\) | ||||
−0.879985 | + | 0.475001i | \(0.842448\pi\) | |||||||
\(44\) | −9.41837 | + | 11.1347i | −0.214054 | + | 0.253062i | ||||
\(45\) | −27.3833 | − | 47.4293i | −0.608518 | − | 1.05398i | ||||
\(46\) | −8.87961 | + | 24.2474i | −0.193035 | + | 0.527117i | ||||
\(47\) | −36.2025 | − | 20.9015i | −0.770266 | − | 0.444713i | 0.0627038 | − | 0.998032i | \(-0.480028\pi\) |
−0.832969 | + | 0.553319i | \(0.813361\pi\) | |||||||
\(48\) | −58.4116 | − | 21.7844i | −1.21691 | − | 0.453842i | ||||
\(49\) | 46.8639 | − | 14.3100i | 0.956406 | − | 0.292041i | ||||
\(50\) | 68.6087 | + | 82.0935i | 1.37217 | + | 1.64187i | ||||
\(51\) | 35.3458 | + | 20.4069i | 0.693055 | + | 0.400136i | ||||
\(52\) | −29.3369 | + | 10.5467i | −0.564172 | + | 0.202821i | ||||
\(53\) | −5.55272 | + | 3.20586i | −0.104768 | + | 0.0604880i | −0.551469 | − | 0.834196i | \(-0.685932\pi\) |
0.446700 | + | 0.894684i | \(0.352599\pi\) | |||||||
\(54\) | 21.6371 | − | 3.77115i | 0.400688 | − | 0.0698361i | ||||
\(55\) | − | 32.3020i | − | 0.587310i | ||||||
\(56\) | 44.0379 | − | 34.5928i | 0.786391 | − | 0.617729i | ||||
\(57\) | −42.0232 | −0.737249 | ||||||||
\(58\) | 5.91778 | + | 33.9535i | 0.102031 | + | 0.585406i | ||||
\(59\) | −7.95742 | − | 13.7827i | −0.134871 | − | 0.233604i | 0.790677 | − | 0.612234i | \(-0.209729\pi\) |
−0.925548 | + | 0.378629i | \(0.876395\pi\) | |||||||
\(60\) | 129.940 | − | 46.7137i | 2.16567 | − | 0.778561i | ||||
\(61\) | −6.07848 | + | 10.5282i | −0.0996472 | + | 0.172594i | −0.911539 | − | 0.411214i | \(-0.865105\pi\) |
0.811891 | + | 0.583808i | \(0.198438\pi\) | |||||||
\(62\) | 46.3912 | − | 38.7709i | 0.748246 | − | 0.625338i | ||||
\(63\) | 15.8658 | − | 40.2572i | 0.251838 | − | 0.639004i | ||||
\(64\) | 32.6548 | − | 55.0424i | 0.510231 | − | 0.860037i | ||||
\(65\) | 34.5253 | − | 59.7995i | 0.531158 | − | 0.919992i | ||||
\(66\) | −26.6792 | − | 9.77016i | −0.404230 | − | 0.148033i | ||||
\(67\) | 6.75274 | − | 3.89870i | 0.100787 | − | 0.0581895i | −0.448759 | − | 0.893653i | \(-0.648134\pi\) |
0.549546 | + | 0.835463i | \(0.314801\pi\) | |||||||
\(68\) | −27.0591 | + | 31.9902i | −0.397928 | + | 0.470445i | ||||
\(69\) | −50.3060 | −0.729073 | ||||||||
\(70\) | −24.9899 | + | 121.492i | −0.356998 | + | 1.73560i | ||||
\(71\) | −41.3627 | −0.582574 | −0.291287 | − | 0.956636i | \(-0.594083\pi\) | ||||
−0.291287 | + | 0.956636i | \(0.594083\pi\) | |||||||
\(72\) | 0.293120 | − | 49.4516i | 0.00407112 | − | 0.686827i | ||||
\(73\) | 77.6038 | − | 44.8046i | 1.06307 | − | 0.613761i | 0.136787 | − | 0.990601i | \(-0.456322\pi\) |
0.926279 | + | 0.376839i | \(0.122989\pi\) | |||||||
\(74\) | −74.3406 | − | 27.2242i | −1.00460 | − | 0.367895i | ||||
\(75\) | −104.216 | + | 180.507i | −1.38955 | + | 2.40677i | ||||
\(76\) | 7.65920 | − | 42.4557i | 0.100779 | − | 0.558628i | ||||
\(77\) | 19.9762 | − | 15.8842i | 0.259432 | − | 0.206288i | ||||
\(78\) | −38.9475 | − | 46.6025i | −0.499326 | − | 0.597467i | ||||
\(79\) | −35.3975 | + | 61.3103i | −0.448070 | + | 0.776080i | −0.998260 | − | 0.0589594i | \(-0.981222\pi\) |
0.550191 | + | 0.835039i | \(0.314555\pi\) | |||||||
\(80\) | 23.5115 | + | 139.792i | 0.293893 | + | 1.74740i | ||||
\(81\) | 49.2112 | + | 85.2363i | 0.607546 | + | 1.05230i | ||||
\(82\) | −25.3020 | − | 145.172i | −0.308561 | − | 1.77039i | ||||
\(83\) | −60.8673 | −0.733341 | −0.366671 | − | 0.930351i | \(-0.619502\pi\) | ||||
−0.366671 | + | 0.930351i | \(0.619502\pi\) | |||||||
\(84\) | 92.7853 | + | 57.3866i | 1.10459 | + | 0.683174i | ||||
\(85\) | − | 92.8043i | − | 1.09182i | ||||||
\(86\) | −14.0281 | − | 80.4868i | −0.163117 | − | 0.935894i | ||||
\(87\) | −58.1489 | + | 33.5723i | −0.668379 | + | 0.385889i | ||||
\(88\) | 14.7333 | − | 25.1730i | 0.167424 | − | 0.286057i | ||||
\(89\) | −23.4004 | − | 13.5102i | −0.262926 | − | 0.151800i | 0.362743 | − | 0.931889i | \(-0.381840\pi\) |
−0.625668 | + | 0.780089i | \(0.715174\pi\) | |||||||
\(90\) | 70.2407 | + | 84.0463i | 0.780453 | + | 0.933848i | ||||
\(91\) | 53.9586 | − | 8.05463i | 0.592952 | − | 0.0885124i | ||||
\(92\) | 9.16883 | − | 50.8238i | 0.0996612 | − | 0.552433i | ||||
\(93\) | 102.005 | + | 58.8927i | 1.09683 | + | 0.633255i | ||||
\(94\) | 78.5073 | + | 28.7501i | 0.835184 | + | 0.305852i | ||||
\(95\) | 47.7771 | + | 82.7524i | 0.502917 | + | 0.871078i | ||||
\(96\) | 122.569 | + | 22.8630i | 1.27676 | + | 0.238156i | ||||
\(97\) | − | 3.26608i | − | 0.0336710i | −0.999858 | − | 0.0168355i | \(-0.994641\pi\) | ||
0.999858 | − | 0.0168355i | \(-0.00535916\pi\) | |||||||
\(98\) | −87.4217 | + | 44.2882i | −0.892058 | + | 0.451921i | ||||
\(99\) | − | 22.5377i | − | 0.227653i | ||||||
\(100\) | −163.371 | − | 138.188i | −1.63371 | − | 1.38188i | ||||
\(101\) | −68.8571 | − | 119.264i | −0.681754 | − | 1.18083i | −0.974445 | − | 0.224625i | \(-0.927884\pi\) |
0.292691 | − | 0.956207i | \(-0.405449\pi\) | |||||||
\(102\) | −76.6496 | − | 28.0698i | −0.751467 | − | 0.275194i | ||||
\(103\) | 86.3243 | + | 49.8393i | 0.838100 | + | 0.483877i | 0.856618 | − | 0.515952i | \(-0.172562\pi\) |
−0.0185182 | + | 0.999829i | \(0.505895\pi\) | |||||||
\(104\) | 54.1807 | − | 30.8545i | 0.520969 | − | 0.296678i | ||||
\(105\) | −238.995 | + | 35.6758i | −2.27615 | + | 0.339770i | ||||
\(106\) | 9.83960 | − | 8.22333i | 0.0928265 | − | 0.0775786i | ||||
\(107\) | −81.4157 | − | 47.0054i | −0.760894 | − | 0.439302i | 0.0687226 | − | 0.997636i | \(-0.478108\pi\) |
−0.829617 | + | 0.558333i | \(0.811441\pi\) | |||||||
\(108\) | −41.3366 | + | 14.8606i | −0.382746 | + | 0.137598i | ||||
\(109\) | −169.697 | + | 97.9745i | −1.55685 | + | 0.898849i | −0.559297 | + | 0.828967i | \(0.688929\pi\) |
−0.997555 | + | 0.0698815i | \(0.977738\pi\) | |||||||
\(110\) | 11.0927 | + | 63.6446i | 0.100842 | + | 0.578588i | ||||
\(111\) | − | 154.234i | − | 1.38950i | ||||||
\(112\) | −74.8885 | + | 83.2810i | −0.668647 | + | 0.743580i | ||||
\(113\) | 101.873 | 0.901527 | 0.450763 | − | 0.892643i | \(-0.351152\pi\) | ||||
0.450763 | + | 0.892643i | \(0.351152\pi\) | |||||||
\(114\) | 82.7982 | − | 14.4309i | 0.726300 | − | 0.126587i | ||||
\(115\) | 57.1940 | + | 99.0629i | 0.497339 | + | 0.861417i | ||||
\(116\) | −23.3196 | − | 64.8664i | −0.201031 | − | 0.559193i | ||||
\(117\) | 24.0888 | − | 41.7231i | 0.205887 | − | 0.356608i | ||||
\(118\) | 20.4115 | + | 24.4233i | 0.172979 | + | 0.206977i | ||||
\(119\) | 57.3920 | − | 45.6355i | 0.482286 | − | 0.383491i | ||||
\(120\) | −239.979 | + | 136.662i | −1.99983 | + | 1.13885i | ||||
\(121\) | −53.8535 | + | 93.2770i | −0.445070 | + | 0.770884i | ||||
\(122\) | 8.36098 | − | 22.8311i | 0.0685326 | − | 0.187140i | ||||
\(123\) | 248.622 | − | 143.542i | 2.02131 | − | 1.16701i | ||||
\(124\) | −78.0905 | + | 92.3212i | −0.629762 | + | 0.744526i | ||||
\(125\) | 252.449 | 2.01960 | ||||||||
\(126\) | −17.4358 | + | 84.7671i | −0.138380 | + | 0.672755i | ||||
\(127\) | −139.079 | −1.09511 | −0.547554 | − | 0.836770i | \(-0.684441\pi\) | ||||
−0.547554 | + | 0.836770i | \(0.684441\pi\) | |||||||
\(128\) | −45.4379 | + | 119.664i | −0.354983 | + | 0.934873i | ||||
\(129\) | 137.842 | − | 79.5831i | 1.06854 | − | 0.616924i | ||||
\(130\) | −47.4896 | + | 129.679i | −0.365305 | + | 0.997530i | ||||
\(131\) | 45.8526 | − | 79.4190i | 0.350020 | − | 0.606252i | −0.636233 | − | 0.771497i | \(-0.719508\pi\) |
0.986252 | + | 0.165245i | \(0.0528416\pi\) | |||||||
\(132\) | 55.9210 | + | 10.0884i | 0.423644 | + | 0.0764272i | ||||
\(133\) | −27.6819 | + | 70.2389i | −0.208134 | + | 0.528112i | ||||
\(134\) | −11.9661 | + | 10.0005i | −0.0892991 | + | 0.0746307i | ||||
\(135\) | 48.6471 | − | 84.2592i | 0.360349 | − | 0.624142i | ||||
\(136\) | 42.3290 | − | 72.3225i | 0.311242 | − | 0.531783i | ||||
\(137\) | −99.7904 | − | 172.842i | −0.728397 | − | 1.26162i | −0.957560 | − | 0.288233i | \(-0.906932\pi\) |
0.229163 | − | 0.973388i | \(-0.426401\pi\) | |||||||
\(138\) | 99.1179 | − | 17.2753i | 0.718245 | − | 0.125183i | ||||
\(139\) | −39.4768 | −0.284006 | −0.142003 | − | 0.989866i | \(-0.545354\pi\) | ||||
−0.142003 | + | 0.989866i | \(0.545354\pi\) | |||||||
\(140\) | 7.51653 | − | 247.957i | 0.0536895 | − | 1.77112i | ||||
\(141\) | 162.879i | 1.15517i | ||||||||
\(142\) | 81.4969 | − | 14.2041i | 0.573922 | − | 0.100029i | ||||
\(143\) | 24.6088 | − | 14.2079i | 0.172089 | − | 0.0993559i | ||||
\(144\) | 16.4043 | + | 97.5349i | 0.113919 | + | 0.677326i | ||||
\(145\) | 132.222 | + | 76.3382i | 0.911873 | + | 0.526470i | ||||
\(146\) | −137.516 | + | 114.928i | −0.941894 | + | 0.787177i | ||||
\(147\) | −139.586 | − | 130.256i | −0.949564 | − | 0.886097i | ||||
\(148\) | 155.822 | + | 28.1110i | 1.05285 | + | 0.189939i | ||||
\(149\) | 82.0846 | + | 47.3916i | 0.550903 | + | 0.318064i | 0.749486 | − | 0.662020i | \(-0.230301\pi\) |
−0.198583 | + | 0.980084i | \(0.563634\pi\) | |||||||
\(150\) | 143.350 | − | 391.442i | 0.955664 | − | 2.60961i | ||||
\(151\) | −33.2843 | − | 57.6501i | −0.220426 | − | 0.381789i | 0.734511 | − | 0.678596i | \(-0.237411\pi\) |
−0.954937 | + | 0.296807i | \(0.904078\pi\) | |||||||
\(152\) | −0.511422 | + | 86.2807i | −0.00336462 | + | 0.567636i | ||||
\(153\) | − | 64.7511i | − | 0.423210i | ||||||
\(154\) | −33.9044 | + | 38.1565i | −0.220159 | + | 0.247769i | ||||
\(155\) | − | 267.826i | − | 1.72791i | ||||||
\(156\) | 92.7416 | + | 78.4460i | 0.594497 | + | 0.502859i | ||||
\(157\) | −12.7597 | − | 22.1004i | −0.0812720 | − | 0.140767i | 0.822525 | − | 0.568730i | \(-0.192565\pi\) |
−0.903797 | + | 0.427962i | \(0.859232\pi\) | |||||||
\(158\) | 48.6894 | − | 132.955i | 0.308161 | − | 0.841489i | ||||
\(159\) | 21.6353 | + | 12.4912i | 0.136071 | + | 0.0785608i | ||||
\(160\) | −94.3296 | − | 267.357i | −0.589560 | − | 1.67098i | ||||
\(161\) | −33.1380 | + | 84.0830i | −0.205826 | + | 0.522255i | ||||
\(162\) | −126.231 | − | 151.042i | −0.779205 | − | 0.932355i | ||||
\(163\) | 166.364 | + | 96.0504i | 1.02064 | + | 0.589267i | 0.914289 | − | 0.405062i | \(-0.132750\pi\) |
0.106350 | + | 0.994329i | \(0.466083\pi\) | |||||||
\(164\) | 99.7051 | + | 277.343i | 0.607958 | + | 1.69111i | ||||
\(165\) | −108.998 | + | 62.9301i | −0.660594 | + | 0.381394i | ||||
\(166\) | 119.927 | − | 20.9021i | 0.722450 | − | 0.125916i | ||||
\(167\) | 184.150i | 1.10269i | 0.834276 | + | 0.551346i | \(0.185886\pi\) | ||||
−0.834276 | + | 0.551346i | \(0.814114\pi\) | |||||||
\(168\) | −202.521 | − | 81.2059i | −1.20548 | − | 0.483369i | ||||
\(169\) | −108.257 | −0.640574 | ||||||||
\(170\) | 31.8694 | + | 182.852i | 0.187467 | + | 1.07560i | ||||
\(171\) | 33.3349 | + | 57.7377i | 0.194941 | + | 0.337647i | ||||
\(172\) | 55.2790 | + | 153.766i | 0.321390 | + | 0.893987i | ||||
\(173\) | −34.9519 | + | 60.5384i | −0.202034 | + | 0.349933i | −0.949184 | − | 0.314723i | \(-0.898088\pi\) |
0.747150 | + | 0.664656i | \(0.231422\pi\) | |||||||
\(174\) | 103.042 | − | 86.1160i | 0.592195 | − | 0.494920i | ||||
\(175\) | 233.056 | + | 293.095i | 1.33175 | + | 1.67483i | ||||
\(176\) | −20.3844 | + | 54.6578i | −0.115821 | + | 0.310556i | ||||
\(177\) | −31.0049 | + | 53.7021i | −0.175169 | + | 0.303401i | ||||
\(178\) | 50.7452 | + | 18.5834i | 0.285085 | + | 0.104401i | ||||
\(179\) | −207.251 | + | 119.657i | −1.15783 | + | 0.668473i | −0.950783 | − | 0.309858i | \(-0.899719\pi\) |
−0.207047 | + | 0.978331i | \(0.566385\pi\) | |||||||
\(180\) | −167.257 | − | 141.475i | −0.929206 | − | 0.785974i | ||||
\(181\) | 36.2834 | 0.200461 | 0.100230 | − | 0.994964i | \(-0.468042\pi\) | ||||
0.100230 | + | 0.994964i | \(0.468042\pi\) | |||||||
\(182\) | −103.549 | + | 34.3996i | −0.568948 | + | 0.189009i | ||||
\(183\) | 47.3678 | 0.258840 | ||||||||
\(184\) | −0.612224 | + | 103.287i | −0.00332731 | + | 0.561341i | ||||
\(185\) | −303.720 | + | 175.353i | −1.64173 | + | 0.947852i | ||||
\(186\) | −221.205 | − | 81.0072i | −1.18927 | − | 0.435522i | ||||
\(187\) | 19.0955 | − | 33.0744i | 0.102115 | − | 0.176868i | ||||
\(188\) | −164.556 | − | 29.6866i | −0.875296 | − | 0.157907i | ||||
\(189\) | 76.0292 | − | 11.3492i | 0.402271 | − | 0.0600487i | ||||
\(190\) | −122.553 | − | 146.640i | −0.645014 | − | 0.771789i | ||||
\(191\) | 162.622 | − | 281.669i | 0.851422 | − | 1.47471i | −0.0285024 | − | 0.999594i | \(-0.509074\pi\) |
0.879925 | − | 0.475113i | \(-0.157593\pi\) | |||||||
\(192\) | −249.349 | − | 2.95610i | −1.29869 | − | 0.0153964i | ||||
\(193\) | −99.8198 | − | 172.893i | −0.517201 | − | 0.895818i | −0.999800 | − | 0.0199772i | \(-0.993641\pi\) |
0.482599 | − | 0.875841i | \(-0.339693\pi\) | |||||||
\(194\) | 1.12159 | + | 6.43516i | 0.00578138 | + | 0.0331709i | ||||
\(195\) | −269.045 | −1.37972 | ||||||||
\(196\) | 157.038 | − | 117.282i | 0.801214 | − | 0.598377i | ||||
\(197\) | − | 15.5053i | − | 0.0787071i | −0.999225 | − | 0.0393536i | \(-0.987470\pi\) | ||
0.999225 | − | 0.0393536i | \(-0.0125299\pi\) | |||||||
\(198\) | 7.73953 | + | 44.4059i | 0.0390885 | + | 0.224272i | ||||
\(199\) | −48.6375 | + | 28.0809i | −0.244409 | + | 0.141110i | −0.617202 | − | 0.786805i | \(-0.711734\pi\) |
0.372792 | + | 0.927915i | \(0.378400\pi\) | |||||||
\(200\) | 369.344 | + | 216.170i | 1.84672 | + | 1.08085i | ||||
\(201\) | −26.3110 | − | 15.1907i | −0.130901 | − | 0.0755756i | ||||
\(202\) | 176.625 | + | 211.340i | 0.874380 | + | 1.04624i | ||||
\(203\) | 17.8094 | + | 119.307i | 0.0877312 | + | 0.587719i | ||||
\(204\) | 160.662 | + | 28.9841i | 0.787558 | + | 0.142079i | ||||
\(205\) | −565.326 | − | 326.391i | −2.75769 | − | 1.59215i | ||||
\(206\) | −187.200 | − | 68.5542i | −0.908736 | − | 0.332787i | ||||
\(207\) | 39.9052 | + | 69.1178i | 0.192779 | + | 0.333903i | ||||
\(208\) | −96.1566 | + | 79.3985i | −0.462291 | + | 0.381723i | ||||
\(209\) | 39.3226i | 0.188147i | ||||||||
\(210\) | 458.641 | − | 152.364i | 2.18400 | − | 0.725543i | ||||
\(211\) | 370.470i | 1.75578i | 0.478859 | + | 0.877892i | \(0.341051\pi\) | ||||
−0.478859 | + | 0.877892i | \(0.658949\pi\) | |||||||
\(212\) | −16.5630 | + | 19.5814i | −0.0781275 | + | 0.0923650i | ||||
\(213\) | 80.5819 | + | 139.572i | 0.378319 | + | 0.655267i | ||||
\(214\) | 176.555 | + | 64.6561i | 0.825023 | + | 0.302131i | ||||
\(215\) | −313.431 | − | 180.960i | −1.45782 | − | 0.841673i | ||||
\(216\) | 76.3422 | − | 43.4749i | 0.353436 | − | 0.201273i | ||||
\(217\) | 165.629 | − | 131.700i | 0.763266 | − | 0.606914i | ||||
\(218\) | 300.709 | − | 251.314i | 1.37940 | − | 1.15281i | ||||
\(219\) | −302.372 | − | 174.574i | −1.38069 | − | 0.797143i | ||||
\(220\) | −43.7117 | − | 121.590i | −0.198689 | − | 0.552680i | ||||
\(221\) | 70.7014 | − | 40.8195i | 0.319916 | − | 0.184704i | ||||
\(222\) | 52.9648 | + | 303.888i | 0.238580 | + | 1.36886i | ||||
\(223\) | 6.78533i | 0.0304275i | 0.999884 | + | 0.0152137i | \(0.00484287\pi\) | ||||
−0.999884 | + | 0.0152137i | \(0.995157\pi\) | |||||||
\(224\) | 118.954 | − | 189.805i | 0.531043 | − | 0.847345i | ||||
\(225\) | 330.677 | 1.46968 | ||||||||
\(226\) | −200.719 | + | 34.9834i | −0.888138 | + | 0.154794i | ||||
\(227\) | 148.309 | + | 256.879i | 0.653344 | + | 1.13163i | 0.982306 | + | 0.187282i | \(0.0599679\pi\) |
−0.328962 | + | 0.944343i | \(0.606699\pi\) | |||||||
\(228\) | −158.182 | + | 56.8665i | −0.693779 | + | 0.249415i | ||||
\(229\) | 89.0964 | − | 154.320i | 0.389067 | − | 0.673885i | −0.603257 | − | 0.797547i | \(-0.706131\pi\) |
0.992324 | + | 0.123662i | \(0.0394640\pi\) | |||||||
\(230\) | −146.708 | − | 175.543i | −0.637860 | − | 0.763230i | ||||
\(231\) | −92.5158 | − | 36.4614i | −0.400501 | − | 0.157842i | ||||
\(232\) | 68.2219 | + | 119.798i | 0.294060 | + | 0.516371i | ||||
\(233\) | −58.9011 | + | 102.020i | −0.252795 | + | 0.437853i | −0.964294 | − | 0.264833i | \(-0.914683\pi\) |
0.711500 | + | 0.702687i | \(0.248016\pi\) | |||||||
\(234\) | −33.1343 | + | 90.4791i | −0.141600 | + | 0.386663i | ||||
\(235\) | 320.743 | − | 185.181i | 1.36486 | − | 0.788004i | ||||
\(236\) | −48.6038 | − | 41.1118i | −0.205948 | − | 0.174203i | ||||
\(237\) | 275.842 | 1.16389 | ||||||||
\(238\) | −97.4080 | + | 109.624i | −0.409277 | + | 0.460606i | ||||
\(239\) | 46.3543 | 0.193951 | 0.0969755 | − | 0.995287i | \(-0.469083\pi\) | ||||
0.0969755 | + | 0.995287i | \(0.469083\pi\) | |||||||
\(240\) | 425.900 | − | 351.674i | 1.77458 | − | 1.46531i | ||||
\(241\) | 317.501 | − | 183.309i | 1.31743 | − | 0.760619i | 0.334115 | − | 0.942532i | \(-0.391562\pi\) |
0.983315 | + | 0.181914i | \(0.0582291\pi\) | |||||||
\(242\) | 74.0757 | − | 202.277i | 0.306098 | − | 0.835855i | ||||
\(243\) | 142.327 | − | 246.517i | 0.585706 | − | 1.01447i | ||||
\(244\) | −8.63331 | + | 47.8553i | −0.0353824 | + | 0.196128i | ||||
\(245\) | −97.8032 | + | 422.965i | −0.399197 | + | 1.72639i | ||||
\(246\) | −440.566 | + | 368.198i | −1.79092 | + | 1.49674i | ||||
\(247\) | −42.0290 | + | 72.7964i | −0.170158 | + | 0.294722i | ||||
\(248\) | 122.158 | − | 208.717i | 0.492572 | − | 0.841600i | ||||
\(249\) | 118.580 | + | 205.387i | 0.476226 | + | 0.824847i | ||||
\(250\) | −497.400 | + | 86.6922i | −1.98960 | + | 0.346769i | ||||
\(251\) | 129.896 | 0.517513 | 0.258756 | − | 0.965943i | \(-0.416687\pi\) | ||||
0.258756 | + | 0.965943i | \(0.416687\pi\) | |||||||
\(252\) | 5.24440 | − | 173.004i | 0.0208111 | − | 0.686524i | ||||
\(253\) | 47.0732i | 0.186060i | ||||||||
\(254\) | 274.027 | − | 47.7602i | 1.07884 | − | 0.188032i | ||||
\(255\) | −313.153 | + | 180.799i | −1.22805 | + | 0.709016i | ||||
\(256\) | 48.4332 | − | 251.377i | 0.189192 | − | 0.981940i | ||||
\(257\) | 232.394 | + | 134.173i | 0.904256 | + | 0.522073i | 0.878579 | − | 0.477598i | \(-0.158492\pi\) |
0.0256776 | + | 0.999670i | \(0.491826\pi\) | |||||||
\(258\) | −244.261 | + | 204.138i | −0.946747 | + | 0.791233i | ||||
\(259\) | −257.792 | − | 101.599i | −0.995337 | − | 0.392272i | ||||
\(260\) | 49.0365 | − | 271.814i | 0.188602 | − | 1.04544i | ||||
\(261\) | 92.2532 | + | 53.2624i | 0.353460 | + | 0.204070i | ||||
\(262\) | −63.0704 | + | 172.225i | −0.240727 | + | 0.657347i | ||||
\(263\) | 117.691 | + | 203.847i | 0.447495 | + | 0.775085i | 0.998222 | − | 0.0596008i | \(-0.0189828\pi\) |
−0.550727 | + | 0.834685i | \(0.685649\pi\) | |||||||
\(264\) | −113.645 | − | 0.673625i | −0.430475 | − | 0.00255161i | ||||
\(265\) | − | 56.8059i | − | 0.214362i | ||||||
\(266\) | 30.4212 | − | 147.898i | 0.114365 | − | 0.556006i | ||||
\(267\) | 105.281i | 0.394311i | ||||||||
\(268\) | 20.1425 | − | 23.8132i | 0.0751587 | − | 0.0888552i | ||||
\(269\) | −177.348 | − | 307.175i | −0.659285 | − | 1.14192i | −0.980801 | − | 0.195011i | \(-0.937526\pi\) |
0.321516 | − | 0.946904i | \(-0.395808\pi\) | |||||||
\(270\) | −66.9143 | + | 182.721i | −0.247831 | + | 0.676746i | ||||
\(271\) | −365.350 | − | 210.935i | −1.34816 | − | 0.778358i | −0.360168 | − | 0.932888i | \(-0.617281\pi\) |
−0.987988 | + | 0.154529i | \(0.950614\pi\) | |||||||
\(272\) | −58.5648 | + | 157.033i | −0.215312 | + | 0.577327i | ||||
\(273\) | −132.300 | − | 166.383i | −0.484615 | − | 0.609461i | ||||
\(274\) | 255.972 | + | 306.282i | 0.934203 | + | 1.11782i | ||||
\(275\) | 168.907 | + | 97.5186i | 0.614208 | + | 0.354613i | ||||
\(276\) | −189.359 | + | 68.0750i | −0.686084 | + | 0.246648i | ||||
\(277\) | 319.155 | − | 184.264i | 1.15218 | − | 0.665214i | 0.202766 | − | 0.979227i | \(-0.435007\pi\) |
0.949419 | + | 0.314013i | \(0.101674\pi\) | |||||||
\(278\) | 77.7810 | − | 13.5565i | 0.279788 | − | 0.0487644i | ||||
\(279\) | − | 186.866i | − | 0.669772i | ||||||
\(280\) | 70.3398 | + | 491.131i | 0.251214 | + | 1.75404i | ||||
\(281\) | −35.2868 | −0.125576 | −0.0627879 | − | 0.998027i | \(-0.519999\pi\) | ||||
−0.0627879 | + | 0.998027i | \(0.519999\pi\) | |||||||
\(282\) | −55.9334 | − | 320.921i | −0.198345 | − | 1.13802i | ||||
\(283\) | 98.3087 | + | 170.276i | 0.347380 | + | 0.601681i | 0.985783 | − | 0.168022i | \(-0.0537379\pi\) |
−0.638403 | + | 0.769702i | \(0.720405\pi\) | |||||||
\(284\) | −155.695 | + | 55.9728i | −0.548223 | + | 0.197087i | ||||
\(285\) | 186.156 | − | 322.432i | 0.653180 | − | 1.13134i | ||||
\(286\) | −43.6076 | + | 36.4445i | −0.152474 | + | 0.127428i | ||||
\(287\) | −76.1460 | − | 510.108i | −0.265317 | − | 1.77738i | ||||
\(288\) | −65.8153 | − | 186.540i | −0.228525 | − | 0.647707i | ||||
\(289\) | −89.6384 | + | 155.258i | −0.310167 | + | 0.537226i | ||||
\(290\) | −286.731 | − | 105.003i | −0.988727 | − | 0.362081i | ||||
\(291\) | −11.0209 | + | 6.36291i | −0.0378724 | + | 0.0218657i | ||||
\(292\) | 231.482 | − | 273.666i | 0.792746 | − | 0.937211i | ||||
\(293\) | −317.573 | −1.08387 | −0.541933 | − | 0.840421i | \(-0.682307\pi\) | ||||
−0.541933 | + | 0.840421i | \(0.682307\pi\) | |||||||
\(294\) | 319.756 | + | 208.709i | 1.08761 | + | 0.709895i | ||||
\(295\) | 141.001 | 0.477968 | ||||||||
\(296\) | −316.669 | − | 1.87703i | −1.06983 | − | 0.00634133i | ||||
\(297\) | 34.6745 | − | 20.0193i | 0.116749 | − | 0.0674051i | ||||
\(298\) | −178.006 | − | 65.1873i | −0.597334 | − | 0.218749i | ||||
\(299\) | −50.3130 | + | 87.1447i | −0.168271 | + | 0.291454i | ||||
\(300\) | −148.019 | + | 820.483i | −0.493396 | + | 2.73494i | ||||
\(301\) | −42.2173 | − | 282.817i | −0.140257 | − | 0.939591i | ||||
\(302\) | 85.3773 | + | 102.158i | 0.282706 | + | 0.338271i | ||||
\(303\) | −268.292 | + | 464.695i | −0.885451 | + | 1.53365i | ||||
\(304\) | −28.6215 | − | 170.174i | −0.0941496 | − | 0.559784i | ||||
\(305\) | −53.8535 | − | 93.2769i | −0.176569 | − | 0.305826i | ||||
\(306\) | 22.2358 | + | 127.579i | 0.0726660 | + | 0.416924i | ||||
\(307\) | 132.193 | 0.430596 | 0.215298 | − | 0.976548i | \(-0.430928\pi\) | ||||
0.215298 | + | 0.976548i | \(0.430928\pi\) | |||||||
\(308\) | 53.6987 | − | 86.8225i | 0.174347 | − | 0.281891i | ||||
\(309\) | − | 388.383i | − | 1.25690i | ||||||
\(310\) | 91.9724 | + | 527.696i | 0.296685 | + | 1.70225i | ||||
\(311\) | 400.453 | − | 231.202i | 1.28763 | − | 0.743414i | 0.309400 | − | 0.950932i | \(-0.399872\pi\) |
0.978231 | + | 0.207518i | \(0.0665385\pi\) | |||||||
\(312\) | −209.667 | − | 122.714i | −0.672010 | − | 0.393315i | ||||
\(313\) | −490.206 | − | 283.021i | −1.56615 | − | 0.904220i | −0.996611 | − | 0.0822589i | \(-0.973787\pi\) |
−0.569544 | − | 0.821961i | \(-0.692880\pi\) | |||||||
\(314\) | 32.7298 | + | 39.1627i | 0.104235 | + | 0.124722i | ||||
\(315\) | 238.599 | + | 300.067i | 0.757458 | + | 0.952594i | ||||
\(316\) | −50.2753 | + | 278.682i | −0.159099 | + | 0.881904i | ||||
\(317\) | 153.315 | + | 88.5163i | 0.483643 | + | 0.279231i | 0.721933 | − | 0.691963i | \(-0.243254\pi\) |
−0.238291 | + | 0.971194i | \(0.576587\pi\) | |||||||
\(318\) | −46.9176 | − | 17.1817i | −0.147540 | − | 0.0540304i | ||||
\(319\) | 31.4148 | + | 54.4120i | 0.0984790 | + | 0.170571i | ||||
\(320\) | 277.669 | + | 494.380i | 0.867716 | + | 1.54494i | ||||
\(321\) | 366.299i | 1.14112i | ||||||||
\(322\) | 36.4172 | − | 177.048i | 0.113097 | − | 0.549840i | ||||
\(323\) | 112.975i | 0.349766i | ||||||||
\(324\) | 300.581 | + | 254.248i | 0.927720 | + | 0.784718i | ||||
\(325\) | 208.461 | + | 361.065i | 0.641418 | + | 1.11097i | ||||
\(326\) | −360.771 | − | 132.118i | −1.10666 | − | 0.405269i | ||||
\(327\) | 661.199 | + | 381.743i | 2.02201 | + | 1.16741i | ||||
\(328\) | −291.689 | − | 512.208i | −0.889297 | − | 1.56161i | ||||
\(329\) | 272.241 | + | 107.293i | 0.827481 | + | 0.326119i | ||||
\(330\) | 193.148 | − | 161.421i | 0.585298 | − | 0.489156i | ||||
\(331\) | −429.688 | − | 248.080i | −1.29815 | − | 0.749487i | −0.318065 | − | 0.948069i | \(-0.603033\pi\) |
−0.980084 | + | 0.198582i | \(0.936366\pi\) | |||||||
\(332\) | −229.114 | + | 82.3667i | −0.690101 | + | 0.248092i | ||||
\(333\) | −211.910 | + | 122.346i | −0.636367 | + | 0.367406i | ||||
\(334\) | −63.2378 | − | 362.830i | −0.189335 | − | 1.08632i | ||||
\(335\) | 69.0825i | 0.206216i | ||||||||
\(336\) | 426.914 | + | 90.4532i | 1.27058 | + | 0.269206i | ||||
\(337\) | −206.191 | −0.611843 | −0.305922 | − | 0.952057i | \(-0.598965\pi\) | ||||
−0.305922 | + | 0.952057i | \(0.598965\pi\) | |||||||
\(338\) | 213.298 | − | 37.1759i | 0.631061 | − | 0.109988i | ||||
\(339\) | −198.466 | − | 343.752i | −0.585444 | − | 1.01402i | ||||
\(340\) | −125.584 | − | 349.329i | −0.369366 | − | 1.02744i | ||||
\(341\) | 55.1080 | − | 95.4499i | 0.161607 | − | 0.279912i | ||||
\(342\) | −85.5070 | − | 102.313i | −0.250020 | − | 0.299161i | ||||
\(343\) | −309.663 | + | 147.505i | −0.902809 | + | 0.430043i | ||||
\(344\) | −161.720 | − | 283.981i | −0.470116 | − | 0.825527i | ||||
\(345\) | 222.848 | − | 385.984i | 0.645936 | − | 1.11879i | ||||
\(346\) | 48.0764 | − | 131.281i | 0.138949 | − | 0.379426i | ||||
\(347\) | −524.976 | + | 303.095i | −1.51290 | + | 0.873472i | −0.513013 | + | 0.858381i | \(0.671471\pi\) |
−0.999886 | + | 0.0150913i | \(0.995196\pi\) | |||||||
\(348\) | −173.451 | + | 205.059i | −0.498421 | + | 0.589251i | ||||
\(349\) | −136.343 | −0.390669 | −0.195335 | − | 0.980737i | \(-0.562579\pi\) | ||||
−0.195335 | + | 0.980737i | \(0.562579\pi\) | |||||||
\(350\) | −559.839 | − | 497.452i | −1.59954 | − | 1.42129i | ||||
\(351\) | 85.5887 | 0.243842 | ||||||||
\(352\) | 21.3937 | − | 114.692i | 0.0607775 | − | 0.325831i | ||||
\(353\) | −8.72457 | + | 5.03713i | −0.0247155 | + | 0.0142695i | −0.512307 | − | 0.858802i | \(-0.671209\pi\) |
0.487591 | + | 0.873072i | \(0.337876\pi\) | |||||||
\(354\) | 42.6474 | − | 116.456i | 0.120473 | − | 0.328972i | ||||
\(355\) | 183.231 | − | 317.365i | 0.516143 | − | 0.893985i | ||||
\(356\) | −106.365 | − | 19.1887i | −0.298777 | − | 0.0539007i | ||||
\(357\) | −265.799 | − | 104.754i | −0.744536 | − | 0.293429i | ||||
\(358\) | 367.257 | − | 306.930i | 1.02586 | − | 0.857347i | ||||
\(359\) | −197.808 | + | 342.613i | −0.550997 | + | 0.954354i | 0.447206 | + | 0.894431i | \(0.352419\pi\) |
−0.998203 | + | 0.0599236i | \(0.980914\pi\) | |||||||
\(360\) | 378.129 | + | 221.312i | 1.05036 | + | 0.614755i | ||||
\(361\) | 122.339 | + | 211.897i | 0.338889 | + | 0.586973i | ||||
\(362\) | −71.4890 | + | 12.4599i | −0.197483 | + | 0.0344195i | ||||
\(363\) | 419.664 | 1.15610 | ||||||||
\(364\) | 192.208 | − | 103.336i | 0.528045 | − | 0.283891i | ||||
\(365\) | 793.909i | 2.17509i | ||||||||
\(366\) | −93.3286 | + | 16.2663i | −0.254996 | + | 0.0444434i | ||||
\(367\) | 164.486 | − | 94.9661i | 0.448191 | − | 0.258763i | −0.258875 | − | 0.965911i | \(-0.583352\pi\) |
0.707066 | + | 0.707148i | \(0.250018\pi\) | |||||||
\(368\) | −34.2628 | − | 203.716i | −0.0931055 | − | 0.553575i | ||||
\(369\) | −394.438 | − | 227.729i | −1.06894 | − | 0.617151i | ||||
\(370\) | 538.201 | − | 449.795i | 1.45460 | − | 1.21566i | ||||
\(371\) | 35.1299 | − | 27.9337i | 0.0946898 | − | 0.0752930i | ||||
\(372\) | 463.657 | + | 83.6457i | 1.24639 | + | 0.224854i | ||||
\(373\) | 311.859 | + | 180.052i | 0.836083 | + | 0.482713i | 0.855931 | − | 0.517090i | \(-0.172985\pi\) |
−0.0198479 | + | 0.999803i | \(0.506318\pi\) | |||||||
\(374\) | −26.2659 | + | 71.7238i | −0.0702298 | + | 0.191775i | ||||
\(375\) | −491.816 | − | 851.850i | −1.31151 | − | 2.27160i | ||||
\(376\) | 334.418 | + | 1.98224i | 0.889410 | + | 0.00527192i | ||||
\(377\) | 134.308i | 0.356254i | ||||||||
\(378\) | −145.903 | + | 48.4700i | −0.385986 | + | 0.128228i | ||||
\(379\) | − | 11.2929i | − | 0.0297966i | −0.999889 | − | 0.0148983i | \(-0.995258\pi\) | ||
0.999889 | − | 0.0148983i | \(-0.00474246\pi\) | |||||||
\(380\) | 291.822 | + | 246.839i | 0.767952 | + | 0.649577i | ||||
\(381\) | 270.950 | + | 469.299i | 0.711154 | + | 1.23176i | ||||
\(382\) | −223.687 | + | 610.817i | −0.585568 | + | 1.59900i | ||||
\(383\) | 376.075 | + | 217.127i | 0.981918 | + | 0.566910i | 0.902849 | − | 0.429959i | \(-0.141472\pi\) |
0.0790692 | + | 0.996869i | \(0.474805\pi\) | |||||||
\(384\) | 492.307 | − | 79.8031i | 1.28205 | − | 0.207820i | ||||
\(385\) | 33.3831 | + | 223.636i | 0.0867095 | + | 0.580874i | ||||
\(386\) | 256.047 | + | 306.372i | 0.663334 | + | 0.793710i | ||||
\(387\) | −218.686 | − | 126.258i | −0.565080 | − | 0.326249i | ||||
\(388\) | −4.41972 | − | 12.2940i | −0.0113910 | − | 0.0316856i | ||||
\(389\) | −37.3803 | + | 21.5816i | −0.0960934 | + | 0.0554796i | −0.547277 | − | 0.836952i | \(-0.684335\pi\) |
0.451183 | + | 0.892431i | \(0.351002\pi\) | |||||||
\(390\) | 530.099 | − | 92.3912i | 1.35923 | − | 0.236900i | ||||
\(391\) | 135.242i | 0.345887i | ||||||||
\(392\) | −269.137 | + | 285.008i | −0.686573 | + | 0.727061i | ||||
\(393\) | −357.315 | −0.909199 | ||||||||
\(394\) | 5.32458 | + | 30.5501i | 0.0135142 | + | 0.0775382i | ||||
\(395\) | −313.611 | − | 543.190i | −0.793952 | − | 1.37517i | ||||
\(396\) | −30.4984 | − | 84.8351i | −0.0770160 | − | 0.214230i | ||||
\(397\) | −243.395 | + | 421.573i | −0.613086 | + | 1.06190i | 0.377631 | + | 0.925956i | \(0.376739\pi\) |
−0.990717 | + | 0.135940i | \(0.956595\pi\) | |||||||
\(398\) | 86.1872 | − | 72.0300i | 0.216551 | − | 0.180980i | ||||
\(399\) | 290.939 | − | 43.4297i | 0.729170 | − | 0.108846i | ||||
\(400\) | −801.950 | − | 299.084i | −2.00488 | − | 0.747711i | ||||
\(401\) | 273.457 | − | 473.641i | 0.681938 | − | 1.18115i | −0.292451 | − | 0.956280i | \(-0.594471\pi\) |
0.974389 | − | 0.224870i | \(-0.0721958\pi\) | |||||||
\(402\) | 57.0571 | + | 20.8949i | 0.141933 | + | 0.0519773i | ||||
\(403\) | 204.039 | − | 117.802i | 0.506299 | − | 0.292312i | ||||
\(404\) | −420.579 | − | 355.749i | −1.04104 | − | 0.880566i | ||||
\(405\) | −871.992 | −2.15307 | ||||||||
\(406\) | −76.0604 | − | 228.954i | −0.187341 | − | 0.563927i | ||||
\(407\) | −144.323 | −0.354601 | ||||||||
\(408\) | −326.505 | − | 1.93533i | −0.800257 | − | 0.00474347i | ||||
\(409\) | 57.8217 | − | 33.3834i | 0.141373 | − | 0.0816220i | −0.427645 | − | 0.903947i | \(-0.640657\pi\) |
0.569018 | + | 0.822325i | \(0.307323\pi\) | |||||||
\(410\) | 1225.95 | + | 448.953i | 2.99011 | + | 1.09501i | ||||
\(411\) | −388.819 | + | 673.453i | −0.946030 | + | 1.63857i | ||||
\(412\) | 392.381 | + | 70.7871i | 0.952380 | + | 0.171813i | ||||
\(413\) | 69.3354 | + | 87.1976i | 0.167882 | + | 0.211132i | ||||
\(414\) | −102.360 | − | 122.479i | −0.247248 | − | 0.295843i | ||||
\(415\) | 269.633 | − | 467.018i | 0.649718 | − | 1.12534i | ||||
\(416\) | 162.191 | − | 189.459i | 0.389883 | − | 0.455431i | ||||
\(417\) | 76.9077 | + | 133.208i | 0.184431 | + | 0.319444i | ||||
\(418\) | −13.5036 | − | 77.4773i | −0.0323052 | − | 0.185352i | ||||
\(419\) | 550.169 | 1.31305 | 0.656527 | − | 0.754303i | \(-0.272025\pi\) | ||||
0.656527 | + | 0.754303i | \(0.272025\pi\) | |||||||
\(420\) | −851.336 | + | 457.701i | −2.02699 | + | 1.08977i | ||||
\(421\) | − | 579.599i | − | 1.37672i | −0.725369 | − | 0.688360i | \(-0.758331\pi\) | ||
0.725369 | − | 0.688360i | \(-0.241669\pi\) | |||||||
\(422\) | −127.221 | − | 729.937i | −0.301472 | − | 1.72971i | ||||
\(423\) | 223.788 | − | 129.204i | 0.529049 | − | 0.305446i | ||||
\(424\) | 25.9098 | − | 44.2690i | 0.0611079 | − | 0.104408i | ||||
\(425\) | 485.273 | + | 280.173i | 1.14182 | + | 0.659230i | ||||
\(426\) | −206.700 | − | 247.326i | −0.485211 | − | 0.580578i | ||||
\(427\) | 31.2025 | − | 79.1719i | 0.0730737 | − | 0.185414i | ||||
\(428\) | −370.069 | − | 66.7620i | −0.864647 | − | 0.155986i | ||||
\(429\) | −95.8845 | − | 55.3589i | −0.223507 | − | 0.129042i | ||||
\(430\) | 679.695 | + | 248.911i | 1.58069 | + | 0.578862i | ||||
\(431\) | 215.935 | + | 374.010i | 0.501009 | + | 0.867773i | 0.999999 | + | 0.00116534i | \(0.000370939\pi\) |
−0.498990 | + | 0.866607i | \(0.666296\pi\) | |||||||
\(432\) | −135.487 | + | 111.875i | −0.313628 | + | 0.258969i | ||||
\(433\) | 0.143463i | 0.000331322i | 1.00000 | 0.000165661i | \(5.27316e-5\pi\) | |||||
−1.00000 | 0.000165661i | \(0.999947\pi\) | ||||||||
\(434\) | −281.111 | + | 316.366i | −0.647722 | + | 0.728955i | ||||
\(435\) | − | 594.881i | − | 1.36754i | ||||||
\(436\) | −506.183 | + | 598.427i | −1.16097 | + | 1.37254i | ||||
\(437\) | −69.6247 | − | 120.593i | −0.159324 | − | 0.275958i | ||||
\(438\) | 655.712 | + | 240.128i | 1.49706 | + | 0.548237i | ||||
\(439\) | −165.713 | − | 95.6744i | −0.377478 | − | 0.217937i | 0.299242 | − | 0.954177i | \(-0.403266\pi\) |
−0.676721 | + | 0.736240i | \(0.736599\pi\) | |||||||
\(440\) | 127.879 | + | 224.557i | 0.290635 | + | 0.510357i | ||||
\(441\) | −68.2389 | + | 295.109i | −0.154737 | + | 0.669182i | ||||
\(442\) | −125.285 | + | 104.706i | −0.283451 | + | 0.236891i | ||||
\(443\) | 340.782 | + | 196.751i | 0.769260 | + | 0.444133i | 0.832611 | − | 0.553859i | \(-0.186845\pi\) |
−0.0633505 | + | 0.997991i | \(0.520179\pi\) | |||||||
\(444\) | −208.713 | − | 580.561i | −0.470074 | − | 1.30757i | ||||
\(445\) | 207.320 | − | 119.696i | 0.465888 | − | 0.268981i | ||||
\(446\) | −2.33011 | − | 13.3691i | −0.00522446 | − | 0.0299756i | ||||
\(447\) | − | 369.308i | − | 0.826193i | ||||||
\(448\) | −169.194 | + | 414.822i | −0.377665 | + | 0.925942i | ||||
\(449\) | −725.831 | −1.61655 | −0.808275 | − | 0.588805i | \(-0.799598\pi\) | ||||
−0.808275 | + | 0.588805i | \(0.799598\pi\) | |||||||
\(450\) | −651.532 | + | 113.556i | −1.44785 | + | 0.252346i | ||||
\(451\) | −134.317 | − | 232.644i | −0.297821 | − | 0.515841i | ||||
\(452\) | 383.463 | − | 137.856i | 0.848370 | − | 0.304990i | ||||
\(453\) | −129.687 | + | 224.625i | −0.286286 | + | 0.495861i | ||||
\(454\) | −380.427 | − | 455.198i | −0.837944 | − | 1.00264i | ||||
\(455\) | −177.227 | + | 449.690i | −0.389511 | + | 0.988330i | ||||
\(456\) | 292.137 | − | 166.364i | 0.640650 | − | 0.364834i | ||||
\(457\) | 34.6713 | − | 60.0525i | 0.0758673 | − | 0.131406i | −0.825596 | − | 0.564262i | \(-0.809161\pi\) |
0.901463 | + | 0.432856i | \(0.142494\pi\) | |||||||
\(458\) | −122.553 | + | 334.652i | −0.267582 | + | 0.730680i | ||||
\(459\) | 99.6203 | − | 57.5158i | 0.217038 | − | 0.125307i | ||||
\(460\) | 349.340 | + | 295.492i | 0.759436 | + | 0.642373i | ||||
\(461\) | 768.006 | 1.66596 | 0.832978 | − | 0.553306i | \(-0.186634\pi\) | ||||
0.832978 | + | 0.553306i | \(0.186634\pi\) | |||||||
\(462\) | 194.805 | + | 40.0696i | 0.421655 | + | 0.0867306i | ||||
\(463\) | 215.717 | 0.465911 | 0.232956 | − | 0.972487i | \(-0.425160\pi\) | ||||
0.232956 | + | 0.972487i | \(0.425160\pi\) | |||||||
\(464\) | −175.557 | − | 212.610i | −0.378355 | − | 0.458212i | ||||
\(465\) | −903.734 | + | 521.771i | −1.94351 | + | 1.12209i | ||||
\(466\) | 81.0188 | − | 221.236i | 0.173860 | − | 0.474756i | ||||
\(467\) | 14.4688 | − | 25.0607i | 0.0309824 | − | 0.0536631i | −0.850118 | − | 0.526592i | \(-0.823470\pi\) |
0.881101 | + | 0.472928i | \(0.156803\pi\) | |||||||
\(468\) | 34.2135 | − | 189.649i | 0.0731058 | − | 0.405233i | ||||
\(469\) | −42.7220 | + | 33.9705i | −0.0910917 | + | 0.0724319i | ||||
\(470\) | −568.367 | + | 475.006i | −1.20929 | + | 1.01065i | ||||
\(471\) | −49.7163 | + | 86.1111i | −0.105555 | + | 0.182826i | ||||
\(472\) | 109.882 | + | 64.3118i | 0.232801 | + | 0.136254i | ||||
\(473\) | −74.4688 | − | 128.984i | −0.157439 | − | 0.272693i | ||||
\(474\) | −543.492 | + | 94.7254i | −1.14661 | + | 0.199843i | ||||
\(475\) | −576.949 | −1.21463 | ||||||||
\(476\) | 154.277 | − | 249.442i | 0.324112 | − | 0.524039i | ||||
\(477\) | − | 39.6344i | − | 0.0830911i | ||||||
\(478\) | −91.3317 | + | 15.9183i | −0.191071 | + | 0.0333018i | ||||
\(479\) | −695.377 | + | 401.476i | −1.45173 | + | 0.838154i | −0.998580 | − | 0.0532818i | \(-0.983032\pi\) |
−0.453146 | + | 0.891436i | \(0.649698\pi\) | |||||||
\(480\) | −718.384 | + | 839.159i | −1.49663 | + | 1.74825i | ||||
\(481\) | −267.179 | − | 154.256i | −0.555466 | − | 0.320698i | ||||
\(482\) | −562.622 | + | 470.205i | −1.16726 | + | 0.975528i | ||||
\(483\) | 348.283 | − | 51.9897i | 0.721083 | − | 0.107639i | ||||
\(484\) | −76.4885 | + | 423.984i | −0.158034 | + | 0.876000i | ||||
\(485\) | 25.0598 | + | 14.4683i | 0.0516696 | + | 0.0298315i | ||||
\(486\) | −195.771 | + | 534.587i | −0.402821 | + | 1.09997i | ||||
\(487\) | −9.96197 | − | 17.2546i | −0.0204558 | − | 0.0354305i | 0.855616 | − | 0.517611i | \(-0.173178\pi\) |
−0.876072 | + | 0.482180i | \(0.839845\pi\) | |||||||
\(488\) | 0.576466 | − | 97.2540i | 0.00118128 | − | 0.199291i | ||||
\(489\) | − | 748.493i | − | 1.53066i | ||||||
\(490\) | 47.4537 | − | 866.952i | 0.0968442 | − | 1.76929i | ||||
\(491\) | − | 76.2017i | − | 0.155197i | −0.996985 | − | 0.0775985i | \(-0.975275\pi\) | ||
0.996985 | − | 0.0775985i | \(-0.0247252\pi\) | |||||||
\(492\) | 741.605 | − | 876.751i | 1.50733 | − | 1.78201i | ||||
\(493\) | 90.2552 | + | 156.327i | 0.183073 | + | 0.317093i | ||||
\(494\) | 57.8111 | − | 157.864i | 0.117027 | − | 0.319562i | ||||
\(495\) | 172.925 | + | 99.8384i | 0.349344 | + | 0.201694i | ||||
\(496\) | −169.013 | + | 453.184i | −0.340753 | + | 0.913677i | ||||
\(497\) | 286.366 | − | 42.7471i | 0.576190 | − | 0.0860102i | ||||
\(498\) | −304.169 | − | 363.953i | −0.610781 | − | 0.730828i | ||||
\(499\) | 452.819 | + | 261.435i | 0.907454 | + | 0.523919i | 0.879611 | − | 0.475694i | \(-0.157803\pi\) |
0.0278428 | + | 0.999612i | \(0.491136\pi\) | |||||||
\(500\) | 950.257 | − | 341.619i | 1.90051 | − | 0.683238i | ||||
\(501\) | 621.384 | − | 358.756i | 1.24029 | − | 0.716080i | ||||
\(502\) | −255.933 | + | 44.6067i | −0.509827 | + | 0.0888581i | ||||
\(503\) | 132.060i | 0.262545i | 0.991346 | + | 0.131273i | \(0.0419064\pi\) | ||||
−0.991346 | + | 0.131273i | \(0.958094\pi\) | |||||||
\(504\) | 49.0773 | + | 342.670i | 0.0973755 | + | 0.679902i | ||||
\(505\) | 1220.11 | 2.41605 | ||||||||
\(506\) | −16.1651 | − | 92.7481i | −0.0319469 | − | 0.183297i | ||||
\(507\) | 210.904 | + | 365.296i | 0.415983 | + | 0.720504i | ||||
\(508\) | −523.513 | + | 188.204i | −1.03054 | + | 0.370480i | ||||
\(509\) | −155.079 | + | 268.604i | −0.304673 | + | 0.527709i | −0.977189 | − | 0.212374i | \(-0.931881\pi\) |
0.672515 | + | 0.740083i | \(0.265214\pi\) | |||||||
\(510\) | 554.918 | − | 463.766i | 1.08807 | − | 0.909345i | ||||
\(511\) | −490.969 | + | 390.396i | −0.960801 | + | 0.763984i | ||||
\(512\) | −9.10394 | + | 511.919i | −0.0177811 | + | 0.999842i | ||||
\(513\) | −59.2201 | + | 102.572i | −0.115439 | + | 0.199946i | ||||
\(514\) | −503.961 | − | 184.555i | −0.980468 | − | 0.359057i | ||||
\(515\) | −764.806 | + | 441.561i | −1.48506 | + | 0.857400i | ||||
\(516\) | 411.165 | − | 486.093i | 0.796830 | − | 0.942040i | ||||
\(517\) | 152.412 | 0.294801 | ||||||||
\(518\) | 542.817 | + | 111.653i | 1.04791 | + | 0.215545i | ||||
\(519\) | 272.369 | 0.524797 | ||||||||
\(520\) | −3.27428 | + | 552.394i | −0.00629669 | + | 1.06230i | ||||
\(521\) | 52.9121 | − | 30.5488i | 0.101559 | − | 0.0586349i | −0.448360 | − | 0.893853i | \(-0.647992\pi\) |
0.549919 | + | 0.835218i | \(0.314659\pi\) | |||||||
\(522\) | −200.057 | − | 73.2626i | −0.383250 | − | 0.140350i | ||||
\(523\) | 256.923 | − | 445.004i | 0.491249 | − | 0.850868i | −0.508701 | − | 0.860944i | \(-0.669874\pi\) |
0.999949 | + | 0.0100759i | \(0.00320730\pi\) | |||||||
\(524\) | 65.1247 | − | 360.993i | 0.124284 | − | 0.688918i | ||||
\(525\) | 534.969 | − | 1357.41i | 1.01899 | − | 2.58554i | ||||
\(526\) | −301.889 | − | 361.224i | −0.573933 | − | 0.686738i | ||||
\(527\) | 158.326 | − | 274.229i | 0.300429 | − | 0.520359i | ||||
\(528\) | 224.147 | − | 37.6991i | 0.424520 | − | 0.0713997i | ||||
\(529\) | 181.152 | + | 313.765i | 0.342443 | + | 0.593128i | ||||
\(530\) | 19.5074 | + | 111.925i | 0.0368064 | + | 0.211179i | ||||
\(531\) | 98.3784 | 0.185270 | ||||||||
\(532\) | −9.15018 | + | 301.849i | −0.0171996 | + | 0.567385i | ||||
\(533\) | − | 574.246i | − | 1.07739i | ||||||
\(534\) | −36.1540 | − | 207.435i | −0.0677041 | − | 0.388455i | ||||
\(535\) | 721.318 | − | 416.453i | 1.34826 | − | 0.778417i | ||||
\(536\) | −31.5092 | + | 53.8361i | −0.0587859 | + | 0.100440i | ||||
\(537\) | 807.525 | + | 466.225i | 1.50377 | + | 0.868202i | ||||
\(538\) | 454.913 | + | 544.325i | 0.845563 | + | 1.01176i | ||||
\(539\) | −121.885 | + | 130.616i | −0.226133 | + | 0.242329i | ||||
\(540\) | 69.0938 | − | 382.994i | 0.127951 | − | 0.709248i | ||||
\(541\) | −92.7322 | − | 53.5390i | −0.171409 | − | 0.0989630i | 0.411841 | − | 0.911256i | \(-0.364886\pi\) |
−0.583250 | + | 0.812293i | \(0.698219\pi\) | |||||||
\(542\) | 792.285 | + | 290.142i | 1.46178 | + | 0.535318i | ||||
\(543\) | −70.6863 | − | 122.432i | −0.130177 | − | 0.225474i | ||||
\(544\) | 61.4644 | − | 329.513i | 0.112986 | − | 0.605722i | ||||
\(545\) | − | 1736.05i | − | 3.18541i | ||||||
\(546\) | 317.807 | + | 282.391i | 0.582064 | + | 0.517200i | ||||
\(547\) | 43.3240i | 0.0792030i | 0.999216 | + | 0.0396015i | \(0.0126088\pi\) | ||||
−0.999216 | + | 0.0396015i | \(0.987391\pi\) | |||||||
\(548\) | −609.519 | − | 515.565i | −1.11226 | − | 0.940812i | ||||
\(549\) | −37.5744 | − | 65.0808i | −0.0684416 | − | 0.118544i | ||||
\(550\) | −366.286 | − | 134.137i | −0.665974 | − | 0.243886i | ||||
\(551\) | −160.959 | − | 92.9296i | −0.292121 | − | 0.168656i | ||||
\(552\) | 349.717 | − | 199.155i | 0.633545 | − | 0.360788i | ||||
\(553\) | 181.705 | − | 461.051i | 0.328581 | − | 0.833727i | ||||
\(554\) | −565.553 | + | 472.655i | −1.02085 | + | 0.853167i | ||||
\(555\) | 1183.40 | + | 683.235i | 2.13225 | + | 1.23105i | ||||
\(556\) | −148.596 | + | 53.4207i | −0.267260 | + | 0.0960803i | ||||
\(557\) | −62.7878 | + | 36.2506i | −0.112725 | + | 0.0650818i | −0.555302 | − | 0.831648i | \(-0.687397\pi\) |
0.442577 | + | 0.896730i | \(0.354064\pi\) | |||||||
\(558\) | 64.1707 | + | 368.182i | 0.115001 | + | 0.659825i | ||||
\(559\) | − | 318.377i | − | 0.569547i | ||||||
\(560\) | −307.247 | − | 943.520i | −0.548655 | − | 1.68486i | ||||
\(561\) | −148.805 | −0.265250 | ||||||||
\(562\) | 69.5255 | − | 12.1176i | 0.123711 | − | 0.0215616i | ||||
\(563\) | −292.471 | − | 506.575i | −0.519487 | − | 0.899779i | −0.999743 | − | 0.0226503i | \(-0.992790\pi\) |
0.480256 | − | 0.877128i | \(-0.340544\pi\) | |||||||
\(564\) | 220.411 | + | 613.102i | 0.390800 | + | 1.08706i | ||||
\(565\) | −451.280 | + | 781.639i | −0.798725 | + | 1.38343i | ||||
\(566\) | −252.171 | − | 301.734i | −0.445531 | − | 0.533099i | ||||
\(567\) | −428.792 | − | 539.257i | −0.756247 | − | 0.951071i | ||||
\(568\) | 287.545 | − | 163.749i | 0.506241 | − | 0.288291i | ||||
\(569\) | −371.765 | + | 643.915i | −0.653365 | + | 1.13166i | 0.328936 | + | 0.944352i | \(0.393310\pi\) |
−0.982301 | + | 0.187309i | \(0.940023\pi\) | |||||||
\(570\) | −256.059 | + | 699.215i | −0.449226 | + | 1.22669i | ||||
\(571\) | −893.793 | + | 516.031i | −1.56531 | + | 0.903733i | −0.568607 | + | 0.822609i | \(0.692517\pi\) |
−0.996704 | + | 0.0811234i | \(0.974149\pi\) | |||||||
\(572\) | 73.4047 | − | 86.7816i | 0.128330 | − | 0.151716i | ||||
\(573\) | −1267.26 | −2.21163 | ||||||||
\(574\) | 325.204 | + | 978.917i | 0.566557 | + | 1.70543i | ||||
\(575\) | −690.666 | −1.20116 | ||||||||
\(576\) | 193.734 | + | 344.937i | 0.336344 | + | 0.598849i | ||||
\(577\) | −825.404 | + | 476.547i | −1.43051 | + | 0.825905i | −0.997159 | − | 0.0753213i | \(-0.976002\pi\) |
−0.433350 | + | 0.901226i | \(0.642668\pi\) | |||||||
\(578\) | 123.298 | − | 336.687i | 0.213318 | − | 0.582504i | ||||
\(579\) | −388.933 | + | 673.652i | −0.671732 | + | 1.16347i | ||||
\(580\) | 601.004 | + | 108.424i | 1.03621 | + | 0.186937i | ||||
\(581\) | 421.402 | − | 62.9044i | 0.725305 | − | 0.108269i | ||||
\(582\) | 19.5294 | − | 16.3214i | 0.0335556 | − | 0.0280437i | ||||
\(583\) | 11.6884 | − | 20.2450i | 0.0200488 | − | 0.0347255i | ||||
\(584\) | −362.110 | + | 618.695i | −0.620051 | + | 1.05941i | ||||
\(585\) | 213.420 | + | 369.654i | 0.364820 | + | 0.631887i | ||||
\(586\) | 625.713 | − | 109.056i | 1.06777 | − | 0.186102i | ||||
\(587\) | 96.2876 | 0.164033 | 0.0820167 | − | 0.996631i | \(-0.473864\pi\) | ||||
0.0820167 | + | 0.996631i | \(0.473864\pi\) | |||||||
\(588\) | −701.687 | − | 301.414i | −1.19334 | − | 0.512608i | ||||
\(589\) | 326.035i | 0.553540i | ||||||||
\(590\) | −277.813 | + | 48.4202i | −0.470870 | + | 0.0820681i | ||||
\(591\) | −52.3201 | + | 30.2071i | −0.0885282 | + | 0.0511118i | ||||
\(592\) | 624.577 | − | 105.047i | 1.05503 | − | 0.177445i | ||||
\(593\) | 44.1840 | + | 25.5096i | 0.0745092 | + | 0.0430179i | 0.536792 | − | 0.843715i | \(-0.319636\pi\) |
−0.462283 | + | 0.886733i | \(0.652969\pi\) | |||||||
\(594\) | −61.4443 | + | 51.3514i | −0.103442 | + | 0.0864501i | ||||
\(595\) | 95.9103 | + | 642.511i | 0.161194 | + | 1.07985i | ||||
\(596\) | 373.109 | + | 67.3105i | 0.626023 | + | 0.112937i | ||||
\(597\) | 189.509 | + | 109.413i | 0.317435 | + | 0.183271i | ||||
\(598\) | 69.2058 | − | 188.979i | 0.115729 | − | 0.316018i | ||||
\(599\) | −451.118 | − | 781.359i | −0.753119 | − | 1.30444i | −0.946304 | − | 0.323277i | \(-0.895215\pi\) |
0.193186 | − | 0.981162i | \(-0.438118\pi\) | |||||||
\(600\) | 9.88355 | − | 1667.43i | 0.0164726 | − | 2.77904i | ||||
\(601\) | 903.595i | 1.50349i | 0.659456 | + | 0.751743i | \(0.270787\pi\) | ||||
−0.659456 | + | 0.751743i | \(0.729213\pi\) | |||||||
\(602\) | 180.301 | + | 542.736i | 0.299504 | + | 0.901555i | ||||
\(603\) | 48.2000i | 0.0799337i | ||||||||
\(604\) | −203.300 | − | 171.963i | −0.336590 | − | 0.284706i | ||||
\(605\) | −477.125 | − | 826.406i | −0.788637 | − | 1.36596i | ||||
\(606\) | 369.036 | − | 1007.72i | 0.608971 | − | 1.66290i | ||||
\(607\) | −306.928 | − | 177.205i | −0.505648 | − | 0.291936i | 0.225395 | − | 0.974267i | \(-0.427633\pi\) |
−0.731043 | + | 0.682332i | \(0.760966\pi\) | |||||||
\(608\) | 114.831 | + | 325.465i | 0.188867 | + | 0.535305i | ||||
\(609\) | 367.886 | − | 292.526i | 0.604082 | − | 0.480338i | ||||
\(610\) | 138.139 | + | 165.290i | 0.226457 | + | 0.270967i | ||||
\(611\) | 282.154 | + | 162.902i | 0.461791 | + | 0.266615i | ||||
\(612\) | −87.6222 | − | 243.733i | −0.143174 | − | 0.398256i | ||||
\(613\) | 290.984 | − | 168.000i | 0.474688 | − | 0.274061i | −0.243512 | − | 0.969898i | \(-0.578300\pi\) |
0.718200 | + | 0.695837i | \(0.244966\pi\) | |||||||
\(614\) | −260.460 | + | 45.3956i | −0.424201 | + | 0.0739342i | ||||
\(615\) | 2543.47i | 4.13573i | ||||||||
\(616\) | −75.9873 | + | 189.507i | −0.123356 | + | 0.307641i | ||||
\(617\) | 223.359 | 0.362008 | 0.181004 | − | 0.983482i | \(-0.442065\pi\) | ||||
0.181004 | + | 0.983482i | \(0.442065\pi\) | |||||||
\(618\) | 133.372 | + | 765.230i | 0.215813 | + | 1.23824i | ||||
\(619\) | −363.026 | − | 628.780i | −0.586472 | − | 1.01580i | −0.994690 | − | 0.102915i | \(-0.967183\pi\) |
0.408218 | − | 0.912885i | \(-0.366150\pi\) | |||||||
\(620\) | −362.426 | − | 1008.13i | −0.584558 | − | 1.62602i | ||||
\(621\) | −70.8925 | + | 122.789i | −0.114159 | + | 0.197728i | ||||
\(622\) | −709.617 | + | 593.054i | −1.14086 | + | 0.953463i | ||||
\(623\) | 175.970 | + | 69.3516i | 0.282456 | + | 0.111319i | ||||
\(624\) | 455.247 | + | 169.783i | 0.729563 | + | 0.272088i | ||||
\(625\) | −449.635 | + | 778.791i | −0.719416 | + | 1.24607i | ||||
\(626\) | 1063.04 | + | 389.296i | 1.69815 | + | 0.621879i | ||||
\(627\) | 132.688 | − | 76.6074i | 0.211623 | − | 0.122181i | ||||
\(628\) | −77.9361 | − | 65.9227i | −0.124102 | − | 0.104972i | ||||
\(629\) | −414.642 | −0.659208 | ||||||||
\(630\) | −573.156 | − | 509.286i | −0.909772 | − | 0.808390i | ||||
\(631\) | −326.157 | −0.516888 | −0.258444 | − | 0.966026i | \(-0.583210\pi\) | ||||
−0.258444 | + | 0.966026i | \(0.583210\pi\) | |||||||
\(632\) | 3.35700 | − | 566.350i | 0.00531171 | − | 0.896124i | ||||
\(633\) | 1250.09 | − | 721.741i | 1.97487 | − | 1.14019i | ||||
\(634\) | −332.473 | − | 121.755i | −0.524405 | − | 0.192042i | ||||
\(635\) | 616.097 | − | 1067.11i | 0.970232 | − | 1.68049i | ||||
\(636\) | 98.3419 | + | 17.7413i | 0.154626 | + | 0.0278951i | ||||
\(637\) | −365.247 | + | 111.529i | −0.573386 | + | 0.175085i | ||||
\(638\) | −80.5818 | − | 96.4200i | −0.126304 | − | 0.151128i | ||||
\(639\) | 127.843 | − | 221.431i | 0.200067 | − | 0.346527i | ||||
\(640\) | −716.863 | − | 878.724i | −1.12010 | − | 1.37301i | ||||
\(641\) | 299.187 | + | 518.208i | 0.466751 | + | 0.808436i | 0.999279 | − | 0.0379764i | \(-0.0120912\pi\) |
−0.532528 | + | 0.846413i | \(0.678758\pi\) | |||||||
\(642\) | −125.788 | − | 721.718i | −0.195932 | − | 1.12417i | ||||
\(643\) | −1008.20 | −1.56796 | −0.783979 | − | 0.620787i | \(-0.786813\pi\) | ||||
−0.783979 | + | 0.620787i | \(0.786813\pi\) | |||||||
\(644\) | −10.9537 | + | 361.344i | −0.0170088 | + | 0.561093i | ||||
\(645\) | 1410.16i | 2.18630i | ||||||||
\(646\) | −38.7959 | − | 222.593i | −0.0600556 | − | 0.344572i | ||||
\(647\) | 574.378 | − | 331.617i | 0.887756 | − | 0.512546i | 0.0145481 | − | 0.999894i | \(-0.495369\pi\) |
0.873208 | + | 0.487348i | \(0.162036\pi\) | |||||||
\(648\) | −679.545 | − | 397.724i | −1.04868 | − | 0.613772i | ||||
\(649\) | 50.2509 | + | 29.0124i | 0.0774283 | + | 0.0447032i | ||||
\(650\) | −534.721 | − | 639.819i | −0.822648 | − | 0.984337i | ||||
\(651\) | −767.075 | − | 302.312i | −1.17830 | − | 0.464381i | ||||
\(652\) | 756.197 | + | 136.421i | 1.15981 | + | 0.209235i | ||||
\(653\) | −857.892 | − | 495.304i | −1.31377 | − | 0.758506i | −0.331052 | − | 0.943612i | \(-0.607404\pi\) |
−0.982718 | + | 0.185107i | \(0.940737\pi\) | |||||||
\(654\) | −1433.85 | − | 525.089i | −2.19243 | − | 0.802889i | ||||
\(655\) | 406.240 | + | 703.628i | 0.620213 | + | 1.07424i | ||||
\(656\) | 750.609 | + | 909.036i | 1.14422 | + | 1.38573i | ||||
\(657\) | 553.924i | 0.843110i | ||||||||
\(658\) | −573.241 | − | 117.911i | −0.871187 | − | 0.179195i | ||||
\(659\) | − | 82.2318i | − | 0.124783i | −0.998052 | − | 0.0623914i | \(-0.980127\pi\) | ||
0.998052 | − | 0.0623914i | \(-0.0198727\pi\) | |||||||
\(660\) | −325.127 | + | 384.376i | −0.492616 | + | 0.582388i | ||||
\(661\) | 313.110 | + | 542.322i | 0.473691 | + | 0.820457i | 0.999546 | − | 0.0301171i | \(-0.00958802\pi\) |
−0.525855 | + | 0.850574i | \(0.676255\pi\) | |||||||
\(662\) | 931.804 | + | 341.235i | 1.40756 | + | 0.515461i | ||||
\(663\) | −275.478 | − | 159.047i | −0.415502 | − | 0.239890i | ||||
\(664\) | 423.137 | − | 240.965i | 0.637254 | − | 0.362900i | ||||
\(665\) | −416.297 | − | 523.543i | −0.626010 | − | 0.787282i | ||||
\(666\) | 375.512 | − | 313.830i | 0.563831 | − | 0.471216i | ||||
\(667\) | −192.684 | − | 111.246i | −0.288882 | − | 0.166786i | ||||
\(668\) | 249.195 | + | 693.167i | 0.373046 | + | 1.03767i | ||||
\(669\) | 22.8960 | − | 13.2190i | 0.0342242 | − | 0.0197594i | ||||
\(670\) | −23.7232 | − | 136.113i | −0.0354078 | − | 0.203154i | ||||
\(671\) | − | 44.3237i | − | 0.0660562i | ||||||
\(672\) | −872.210 | − | 31.6156i | −1.29793 | − | 0.0470470i | ||||
\(673\) | −150.211 | −0.223196 | −0.111598 | − | 0.993753i | \(-0.535597\pi\) | ||||
−0.111598 | + | 0.993753i | \(0.535597\pi\) | |||||||
\(674\) | 406.258 | − | 70.8069i | 0.602757 | − | 0.105055i | ||||
\(675\) | 293.727 | + | 508.751i | 0.435152 | + | 0.753705i | ||||
\(676\) | −407.495 | + | 146.495i | −0.602804 | + | 0.216709i | ||||
\(677\) | 278.207 | − | 481.869i | 0.410941 | − | 0.711771i | −0.584052 | − | 0.811716i | \(-0.698533\pi\) |
0.994993 | + | 0.0999455i | \(0.0318668\pi\) | |||||||
\(678\) | 509.082 | + | 609.141i | 0.750859 | + | 0.898438i | ||||
\(679\) | 3.37540 | + | 22.6121i | 0.00497113 | + | 0.0333020i | ||||
\(680\) | 367.400 | + | 645.156i | 0.540293 | + | 0.948759i | ||||
\(681\) | 577.865 | − | 1000.89i | 0.848553 | − | 1.46974i | ||||
\(682\) | −75.8013 | + | 206.989i | −0.111146 | + | 0.303503i | ||||
\(683\) | 685.334 | − | 395.678i | 1.00342 | − | 0.579323i | 0.0941597 | − | 0.995557i | \(-0.469984\pi\) |
0.909258 | + | 0.416234i | \(0.136650\pi\) | |||||||
\(684\) | 203.609 | + | 172.224i | 0.297674 | + | 0.251789i | ||||
\(685\) | 1768.22 | 2.58135 | ||||||||
\(686\) | 559.475 | − | 396.968i | 0.815562 | − | 0.578670i | ||||
\(687\) | −694.302 | −1.01063 | ||||||||
\(688\) | 416.157 | + | 503.992i | 0.604879 | + | 0.732547i | ||||
\(689\) | 43.2767 | − | 24.9858i | 0.0628109 | − | 0.0362639i | ||||
\(690\) | −306.528 | + | 837.030i | −0.444244 | + | 1.21309i | ||||
\(691\) | −488.267 | + | 845.703i | −0.706609 | + | 1.22388i | 0.259499 | + | 0.965743i | \(0.416443\pi\) |
−0.966108 | + | 0.258139i | \(0.916891\pi\) | |||||||
\(692\) | −49.6424 | + | 275.173i | −0.0717375 | + | 0.397649i | ||||
\(693\) | 23.2920 | + | 156.035i | 0.0336103 | + | 0.225158i | ||||
\(694\) | 930.275 | − | 777.466i | 1.34045 | − | 1.12027i | ||||
\(695\) | 174.876 | − | 302.894i | 0.251620 | − | 0.435819i | ||||
\(696\) | 271.331 | − | 463.591i | 0.389843 | − | 0.666080i | ||||
\(697\) | −385.895 | − | 668.390i | −0.553652 | − | 0.958953i | ||||
\(698\) | 268.637 | − | 46.8209i | 0.384867 | − | 0.0670787i | ||||
\(699\) | 458.999 | 0.656651 | ||||||||
\(700\) | 1273.88 | + | 787.878i | 1.81982 | + | 1.12554i | ||||
\(701\) | − | 855.098i | − | 1.21983i | −0.792468 | − | 0.609913i | \(-0.791204\pi\) | ||
0.792468 | − | 0.609913i | \(-0.208796\pi\) | |||||||
\(702\) | −168.635 | + | 29.3915i | −0.240221 | + | 0.0418682i | ||||
\(703\) | 369.730 | − | 213.464i | 0.525932 | − | 0.303647i | ||||
\(704\) | −2.76613 | + | 233.325i | −0.00392916 | + | 0.331427i | ||||
\(705\) | −1249.73 | − | 721.530i | −1.77266 | − | 1.02345i | ||||
\(706\) | 15.4602 | − | 12.9207i | 0.0218983 | − | 0.0183013i | ||||
\(707\) | 599.974 | + | 754.538i | 0.848619 | + | 1.06724i | ||||
\(708\) | −44.0365 | + | 244.099i | −0.0621984 | + | 0.344772i | ||||
\(709\) | 288.794 | + | 166.735i | 0.407326 | + | 0.235170i | 0.689640 | − | 0.724152i | \(-0.257769\pi\) |
−0.282314 | + | 0.959322i | \(0.591102\pi\) | |||||||
\(710\) | −252.035 | + | 688.225i | −0.354978 | + | 0.969331i | ||||
\(711\) | −218.812 | − | 378.993i | −0.307752 | − | 0.533042i | ||||
\(712\) | 216.160 | + | 1.28127i | 0.303595 | + | 0.00179954i | ||||
\(713\) | 390.297i | 0.547401i | ||||||||
\(714\) | 559.677 | + | 115.120i | 0.783861 | + | 0.161233i | ||||
\(715\) | 251.755i | 0.352105i | ||||||||
\(716\) | −618.204 | + | 730.862i | −0.863413 | + | 1.02076i | ||||
\(717\) | −90.3063 | − | 156.415i | −0.125950 | − | 0.218152i | ||||
\(718\) | 272.086 | − | 742.978i | 0.378949 | − | 1.03479i | ||||
\(719\) | −34.4877 | − | 19.9115i | −0.0479662 | − | 0.0276933i | 0.475825 | − | 0.879540i | \(-0.342150\pi\) |
−0.523791 | + | 0.851847i | \(0.675483\pi\) | |||||||
\(720\) | −821.027 | − | 306.199i | −1.14032 | − | 0.425276i | ||||
\(721\) | −649.155 | − | 255.839i | −0.900354 | − | 0.354839i | ||||
\(722\) | −313.811 | − | 375.489i | −0.434641 | − | 0.520068i | ||||
\(723\) | −1237.09 | − | 714.237i | −1.71106 | − | 0.987879i | ||||
\(724\) | 136.576 | − | 49.0992i | 0.188641 | − | 0.0678166i | ||||
\(725\) | −798.344 | + | 460.924i | −1.10116 | + | 0.635757i | ||||
\(726\) | −826.864 | + | 144.114i | −1.13893 | + | 0.198505i | ||||
\(727\) | − | 489.402i | − | 0.673180i | −0.941651 | − | 0.336590i | \(-0.890726\pi\) | ||
0.941651 | − | 0.336590i | \(-0.109274\pi\) | |||||||
\(728\) | −343.222 | + | 269.609i | −0.471459 | + | 0.370342i | ||||
\(729\) | −223.307 | −0.306320 | ||||||||
\(730\) | −272.632 | − | 1564.24i | −0.373468 | − | 2.14279i | ||||
\(731\) | −213.950 | − | 370.572i | −0.292681 | − | 0.506939i | ||||
\(732\) | 178.299 | − | 64.0989i | 0.243578 | − | 0.0875668i | ||||
\(733\) | −89.1592 | + | 154.428i | −0.121636 | + | 0.210680i | −0.920413 | − | 0.390948i | \(-0.872147\pi\) |
0.798777 | + | 0.601627i | \(0.205481\pi\) | |||||||
\(734\) | −291.475 | + | 243.597i | −0.397105 | + | 0.331876i | ||||
\(735\) | 1617.76 | − | 493.988i | 2.20104 | − | 0.672093i | ||||
\(736\) | 137.465 | + | 389.615i | 0.186773 | + | 0.529368i | ||||
\(737\) | −14.2145 | + | 24.6202i | −0.0192869 | + | 0.0334060i | ||||
\(738\) | 855.362 | + | 313.242i | 1.15903 | + | 0.424447i | ||||
\(739\) | 764.182 | − | 441.200i | 1.03408 | − | 0.597024i | 0.115926 | − | 0.993258i | \(-0.463017\pi\) |
0.918149 | + | 0.396234i | \(0.129683\pi\) | |||||||
\(740\) | −905.955 | + | 1071.05i | −1.22426 | + | 1.44737i | ||||
\(741\) | 327.520 | 0.441997 | ||||||||
\(742\) | −59.6239 | + | 67.1014i | −0.0803556 | + | 0.0904332i | ||||
\(743\) | 1404.00 | 1.88964 | 0.944819 | − | 0.327591i | \(-0.106237\pi\) | ||||
0.944819 | + | 0.327591i | \(0.106237\pi\) | |||||||
\(744\) | −942.267 | − | 5.58522i | −1.26649 | − | 0.00750701i | ||||
\(745\) | −727.244 | + | 419.875i | −0.976167 | + | 0.563590i | ||||
\(746\) | −676.286 | − | 247.662i | −0.906549 | − | 0.331987i | ||||
\(747\) | 188.127 | − | 325.846i | 0.251844 | − | 0.436206i | ||||
\(748\) | 27.1215 | − | 150.337i | 0.0362586 | − | 0.200985i | ||||
\(749\) | 612.243 | + | 241.291i | 0.817414 | + | 0.322151i | ||||
\(750\) | 1261.55 | + | 1509.51i | 1.68207 | + | 2.01268i | ||||
\(751\) | −102.840 | + | 178.124i | −0.136938 | + | 0.237183i | −0.926336 | − | 0.376698i | \(-0.877059\pi\) |
0.789398 | + | 0.613881i | \(0.210393\pi\) | |||||||
\(752\) | −659.584 | + | 110.935i | −0.877107 | + | 0.147520i | ||||
\(753\) | −253.060 | − | 438.312i | −0.336069 | − | 0.582088i | ||||
\(754\) | −46.1219 | − | 264.626i | −0.0611696 | − | 0.350963i | ||||
\(755\) | 589.777 | 0.781162 | ||||||||
\(756\) | 270.827 | − | 145.604i | 0.358237 | − | 0.192598i | ||||
\(757\) | − | 15.0345i | − | 0.0198606i | −0.999951 | − | 0.00993032i | \(-0.996839\pi\) | ||
0.999951 | − | 0.00993032i | \(-0.00316097\pi\) | |||||||
\(758\) | 3.87804 | + | 22.2504i | 0.00511614 | + | 0.0293541i | ||||
\(759\) | 158.841 | − | 91.7068i | 0.209276 | − | 0.120826i | ||||
\(760\) | −659.742 | − | 386.134i | −0.868081 | − | 0.508071i | ||||
\(761\) | −544.290 | − | 314.246i | −0.715229 | − | 0.412938i | 0.0977649 | − | 0.995210i | \(-0.468831\pi\) |
−0.812994 | + | 0.582272i | \(0.802164\pi\) | |||||||
\(762\) | −695.011 | − | 831.613i | −0.912088 | − | 1.09136i | ||||
\(763\) | 1073.61 | − | 853.682i | 1.40709 | − | 1.11885i | ||||
\(764\) | 230.973 | − | 1280.31i | 0.302320 | − | 1.67579i | ||||
\(765\) | 496.817 | + | 286.837i | 0.649434 | + | 0.374951i | ||||
\(766\) | −815.541 | − | 298.659i | −1.06467 | − | 0.389894i | ||||
\(767\) | 62.0184 | + | 107.419i | 0.0808584 | + | 0.140051i | ||||
\(768\) | −942.586 | + | 326.296i | −1.22733 | + | 0.424865i | ||||
\(769\) | 442.918i | 0.575967i | 0.957635 | + | 0.287983i | \(0.0929848\pi\) | ||||
−0.957635 | + | 0.287983i | \(0.907015\pi\) | |||||||
\(770\) | −142.572 | − | 429.166i | −0.185159 | − | 0.557359i | ||||
\(771\) | − | 1045.57i | − | 1.35612i | ||||||
\(772\) | −609.698 | − | 515.717i | −0.789764 | − | 0.668027i | ||||
\(773\) | 84.5990 | + | 146.530i | 0.109442 | + | 0.189560i | 0.915545 | − | 0.402217i | \(-0.131760\pi\) |
−0.806102 | + | 0.591777i | \(0.798427\pi\) | |||||||
\(774\) | 474.234 | + | 173.669i | 0.612706 | + | 0.224379i | ||||
\(775\) | 1400.46 | + | 808.555i | 1.80704 | + | 1.04330i | ||||
\(776\) | 12.9300 | + | 22.7051i | 0.0166624 | + | 0.0292592i | ||||
\(777\) | 159.396 | + | 1067.81i | 0.205143 | + | 1.37427i | ||||
\(778\) | 66.2392 | − | 55.3586i | 0.0851404 | − | 0.0711551i | ||||
\(779\) | 688.196 | + | 397.330i | 0.883435 | + | 0.510051i | ||||
\(780\) | −1012.73 | + | 364.076i | −1.29837 | + | 0.466764i | ||||
\(781\) | 130.602 | − | 75.4034i | 0.167225 | − | 0.0965472i | ||||
\(782\) | −46.4426 | − | 266.467i | −0.0593896 | − | 0.340750i | ||||
\(783\) | 189.244i | 0.241690i | ||||||||
\(784\) | 432.406 | − | 653.973i | 0.551539 | − | 0.834149i | ||||
\(785\) | 226.094 | 0.288018 | ||||||||
\(786\) | 704.018 | − | 122.704i | 0.895697 | − | 0.156111i | ||||
\(787\) | 23.2437 | + | 40.2593i | 0.0295346 | + | 0.0511554i | 0.880415 | − | 0.474204i | \(-0.157264\pi\) |
−0.850880 | + | 0.525360i | \(0.823931\pi\) | |||||||
\(788\) | −20.9820 | − | 58.3642i | −0.0266269 | − | 0.0740663i | ||||
\(789\) | 458.567 | − | 794.261i | 0.581200 | − | 1.00667i | ||||
\(790\) | 804.441 | + | 962.551i | 1.01828 | + | 1.21842i | ||||
\(791\) | −705.293 | + | 105.282i | −0.891647 | + | 0.133100i | ||||
\(792\) | 89.2236 | + | 156.677i | 0.112656 | + | 0.197825i | ||||
\(793\) | 47.3743 | − | 82.0548i | 0.0597407 | − | 0.103474i | ||||
\(794\) | 334.791 | − | 914.206i | 0.421651 | − | 1.15139i | ||||
\(795\) | −191.683 | + | 110.668i | −0.241110 | + | 0.139205i | ||||
\(796\) | −145.079 | + | 171.518i | −0.182260 | + | 0.215474i | ||||
\(797\) | −1351.86 | −1.69618 | −0.848092 | − | 0.529850i | \(-0.822248\pi\) | ||||
−0.848092 | + | 0.529850i | \(0.822248\pi\) | |||||||
\(798\) | −558.322 | + | 185.479i | −0.699652 | + | 0.232430i | ||||
\(799\) | 437.882 | 0.548038 | ||||||||
\(800\) | 1682.79 | + | 313.892i | 2.10348 | + | 0.392365i | ||||
\(801\) | 144.651 | − | 83.5141i | 0.180588 | − | 0.104262i | ||||
\(802\) | −376.141 | + | 1027.12i | −0.469004 | + | 1.28070i | ||||
\(803\) | −163.355 | + | 282.940i | −0.203431 | + | 0.352354i | ||||
\(804\) | −119.595 | − | 21.5754i | −0.148750 | − | 0.0268351i | ||||
\(805\) | −498.349 | − | 626.733i | −0.619067 | − | 0.778551i | ||||
\(806\) | −361.563 | + | 302.172i | −0.448590 | + | 0.374903i | ||||
\(807\) | −691.009 | + | 1196.86i | −0.856269 | + | 1.48310i | ||||
\(808\) | 950.831 | + | 556.503i | 1.17677 | + | 0.688741i | ||||
\(809\) | 701.563 | + | 1215.14i | 0.867198 | + | 1.50203i | 0.864848 | + | 0.502034i | \(0.167415\pi\) |
0.00235012 | + | 0.999997i | \(0.499252\pi\) | |||||||
\(810\) | 1718.08 | − | 299.446i | 2.12109 | − | 0.369686i | ||||
\(811\) | −689.037 | −0.849614 | −0.424807 | − | 0.905284i | \(-0.639658\pi\) | ||||
−0.424807 | + | 0.905284i | \(0.639658\pi\) | |||||||
\(812\) | 228.485 | + | 424.989i | 0.281386 | + | 0.523385i | ||||
\(813\) | 1643.75i | 2.02184i | ||||||||
\(814\) | 284.359 | − | 49.5610i | 0.349335 | − | 0.0608858i | ||||
\(815\) | −1473.94 | + | 850.977i | −1.80851 | + | 1.04414i | ||||
\(816\) | 643.977 | − | 108.310i | 0.789187 | − | 0.132733i | ||||
\(817\) | 381.553 | + | 220.290i | 0.467017 | + | 0.269632i | ||||
\(818\) | −102.462 | + | 85.6314i | −0.125259 | + | 0.104684i | ||||
\(819\) | −123.655 | + | 313.756i | −0.150982 | + | 0.383097i | ||||
\(820\) | −2569.65 | − | 463.576i | −3.13372 | − | 0.565336i | ||||
\(821\) | 19.3490 | + | 11.1711i | 0.0235675 | + | 0.0136067i | 0.511737 | − | 0.859142i | \(-0.329002\pi\) |
−0.488170 | + | 0.872749i | \(0.662335\pi\) | |||||||
\(822\) | 534.822 | − | 1460.43i | 0.650635 | − | 1.77667i | ||||
\(823\) | −512.111 | − | 887.003i | −0.622249 | − | 1.07777i | −0.989066 | − | 0.147474i | \(-0.952886\pi\) |
0.366816 | − | 0.930293i | \(-0.380448\pi\) | |||||||
\(824\) | −797.415 | − | 4.72662i | −0.967737 | − | 0.00573619i | ||||
\(825\) | − | 759.934i | − | 0.921132i | ||||||
\(826\) | −166.555 | − | 147.995i | −0.201641 | − | 0.179171i | ||||
\(827\) | − | 466.377i | − | 0.563938i | −0.959424 | − | 0.281969i | \(-0.909012\pi\) | ||
0.959424 | − | 0.281969i | \(-0.0909875\pi\) | |||||||
\(828\) | 243.741 | + | 206.169i | 0.294373 | + | 0.248997i | ||||
\(829\) | 750.350 | + | 1299.64i | 0.905126 | + | 1.56773i | 0.820747 | + | 0.571291i | \(0.193557\pi\) |
0.0843791 | + | 0.996434i | \(0.473109\pi\) | |||||||
\(830\) | −370.881 | + | 1012.76i | −0.446845 | + | 1.22019i | ||||
\(831\) | −1243.54 | − | 717.958i | −1.49644 | − | 0.863969i | ||||
\(832\) | −254.504 | + | 428.988i | −0.305895 | + | 0.515611i | ||||
\(833\) | −350.179 | + | 375.260i | −0.420383 | + | 0.450493i | ||||
\(834\) | −197.275 | − | 236.049i | −0.236541 | − | 0.283033i | ||||
\(835\) | −1412.93 | − | 815.755i | −1.69213 | − | 0.976952i | ||||
\(836\) | 53.2120 | + | 148.016i | 0.0636508 | + | 0.177053i | ||||
\(837\) | 287.496 | − | 165.986i | 0.343484 | − | 0.198311i | ||||
\(838\) | −1084.00 | + | 188.930i | −1.29355 | + | 0.225454i | ||||
\(839\) | − | 1068.18i | − | 1.27316i | −0.771212 | − | 0.636579i | \(-0.780349\pi\) | ||
0.771212 | − | 0.636579i | \(-0.219651\pi\) | |||||||
\(840\) | 1520.21 | − | 1194.16i | 1.80977 | − | 1.42162i | ||||
\(841\) | 544.034 | 0.646890 | ||||||||
\(842\) | 199.037 | + | 1141.98i | 0.236386 | + | 1.35627i | ||||
\(843\) | 68.7449 | + | 119.070i | 0.0815479 | + | 0.141245i | ||||
\(844\) | 501.327 | + | 1394.51i | 0.593989 | + | 1.65226i | ||||
\(845\) | 479.562 | − | 830.625i | 0.567529 | − | 0.982988i | ||||
\(846\) | −396.559 | + | 331.420i | −0.468746 | + | 0.391749i | ||||
\(847\) | 276.445 | − | 701.440i | 0.326381 | − | 0.828146i | ||||
\(848\) | −35.8478 | + | 96.1206i | −0.0422734 | + | 0.113350i | ||||
\(849\) | 383.045 | − | 663.453i | 0.451172 | − | 0.781453i | ||||
\(850\) | −1052.35 | − | 385.379i | −1.23805 | − | 0.453387i | ||||
\(851\) | 442.605 | − | 255.538i | 0.520100 | − | 0.300280i | ||||
\(852\) | 492.193 | + | 416.325i | 0.577692 | + | 0.488644i | ||||
\(853\) | −918.640 | −1.07695 | −0.538476 | − | 0.842641i | \(-0.681000\pi\) | ||||
−0.538476 | + | 0.842641i | \(0.681000\pi\) | |||||||
\(854\) | −34.2902 | + | 166.707i | −0.0401525 | + | 0.195208i | ||||
\(855\) | −590.673 | −0.690846 | ||||||||
\(856\) | 752.072 | + | 4.45785i | 0.878589 | + | 0.00520777i | ||||
\(857\) | −438.167 | + | 252.976i | −0.511280 | + | 0.295188i | −0.733360 | − | 0.679841i | \(-0.762049\pi\) |
0.222080 | + | 0.975029i | \(0.428716\pi\) | |||||||
\(858\) | 207.931 | + | 76.1465i | 0.242344 | + | 0.0887488i | ||||
\(859\) | 688.516 | − | 1192.54i | 0.801532 | − | 1.38829i | −0.117075 | − | 0.993123i | \(-0.537352\pi\) |
0.918607 | − | 0.395171i | \(-0.129315\pi\) | |||||||
\(860\) | −1424.68 | − | 257.018i | −1.65660 | − | 0.298858i | ||||
\(861\) | −1572.93 | + | 1250.72i | −1.82687 | + | 1.45264i | ||||
\(862\) | −553.893 | − | 662.758i | −0.642567 | − | 0.768861i | ||||
\(863\) | −458.817 | + | 794.695i | −0.531654 | + | 0.920852i | 0.467663 | + | 0.883907i | \(0.345096\pi\) |
−0.999317 | + | 0.0369450i | \(0.988237\pi\) | |||||||
\(864\) | 228.532 | − | 266.953i | 0.264505 | − | 0.308974i | ||||
\(865\) | −309.663 | − | 536.352i | −0.357992 | − | 0.620060i | ||||
\(866\) | −0.0492657 | − | 0.282664i | −5.68888e−5 | − | 0.000326402i | ||||
\(867\) | 698.525 | 0.805681 | ||||||||
\(868\) | 445.232 | − | 719.871i | 0.512940 | − | 0.829344i | ||||
\(869\) | − | 258.116i | − | 0.297026i | ||||||
\(870\) | 204.284 | + | 1172.09i | 0.234810 | + | 1.34723i | ||||
\(871\) | −52.6294 | + | 30.3856i | −0.0604241 | + | 0.0348859i | ||||
\(872\) | 791.829 | − | 1352.91i | 0.908061 | − | 1.55150i | ||||
\(873\) | 17.4846 | + | 10.0947i | 0.0200282 | + | 0.0115633i | ||||
\(874\) | 178.594 | + | 213.696i | 0.204341 | + | 0.244503i | ||||
\(875\) | −1747.78 | + | 260.898i | −1.99746 | + | 0.298170i | ||||
\(876\) | −1374.41 | − | 247.949i | −1.56896 | − | 0.283047i | ||||
\(877\) | 606.173 | + | 349.974i | 0.691189 | + | 0.399058i | 0.804057 | − | 0.594552i | \(-0.202671\pi\) |
−0.112868 | + | 0.993610i | \(0.536004\pi\) | |||||||
\(878\) | 359.359 | + | 131.601i | 0.409293 | + | 0.149887i | ||||
\(879\) | 618.688 | + | 1071.60i | 0.703854 | + | 1.21911i | ||||
\(880\) | −329.074 | − | 398.530i | −0.373948 | − | 0.452875i | ||||
\(881\) | − | 6.37652i | − | 0.00723783i | −0.999993 | − | 0.00361891i | \(-0.998848\pi\) | ||
0.999993 | − | 0.00361891i | \(-0.00115194\pi\) | |||||||
\(882\) | 33.1092 | − | 604.887i | 0.0375388 | − | 0.685813i | ||||
\(883\) | 1548.35i | 1.75351i | 0.480935 | + | 0.876756i | \(0.340297\pi\) | ||||
−0.480935 | + | 0.876756i | \(0.659703\pi\) | |||||||
\(884\) | 210.893 | − | 249.325i | 0.238567 | − | 0.282042i | ||||
\(885\) | −274.694 | − | 475.784i | −0.310389 | − | 0.537609i | ||||
\(886\) | −739.008 | − | 270.631i | −0.834094 | − | 0.305453i | ||||
\(887\) | 634.250 | + | 366.185i | 0.715051 | + | 0.412835i | 0.812928 | − | 0.582364i | \(-0.197872\pi\) |
−0.0978774 | + | 0.995198i | \(0.531205\pi\) | |||||||
\(888\) | 610.593 | + | 1072.21i | 0.687605 | + | 1.20744i | ||||
\(889\) | 962.882 | − | 143.733i | 1.08311 | − | 0.161680i | ||||
\(890\) | −367.378 | + | 307.032i | −0.412785 | + | 0.344980i | ||||
\(891\) | −310.768 | − | 179.422i | −0.348785 | − | 0.201371i | ||||
\(892\) | 9.18203 | + | 25.5410i | 0.0102938 | + | 0.0286334i | ||||
\(893\) | −390.454 | + | 225.429i | −0.437238 | + | 0.252440i | ||||
\(894\) | 126.822 | + | 727.647i | 0.141859 | + | 0.813923i | ||||
\(895\) | − | 2120.24i | − | 2.36899i | ||||||
\(896\) | 190.911 | − | 875.425i | 0.213070 | − | 0.977037i | ||||
\(897\) | 392.074 | 0.437095 | ||||||||
\(898\) | 1430.10 | − | 249.253i | 1.59254 | − | 0.277565i | ||||
\(899\) | 260.469 | + | 451.146i | 0.289732 | + | 0.501831i | ||||
\(900\) | 1244.72 | − | 447.478i | 1.38302 | − | 0.497197i | ||||
\(901\) | 33.5811 | − | 58.1641i | 0.0372709 | − | 0.0645551i | ||||
\(902\) | 344.536 | + | 412.253i | 0.381969 | + | 0.457043i | ||||
\(903\) | −872.074 | + | 693.433i | −0.965752 | + | 0.767921i | ||||
\(904\) | −708.197 | + | 403.299i | −0.783403 | + | 0.446128i | ||||
\(905\) | −160.730 | + | 278.392i | −0.177602 | + | 0.307615i | ||||
\(906\) | 178.386 | − | 487.113i | 0.196894 | − | 0.537653i | ||||
\(907\) | −626.862 | + | 361.919i | −0.691138 | + | 0.399029i | −0.804038 | − | 0.594578i | \(-0.797319\pi\) |
0.112900 | + | 0.993606i | \(0.463986\pi\) | |||||||
\(908\) | 905.870 | + | 766.236i | 0.997655 | + | 0.843872i | ||||
\(909\) | 851.288 | 0.936511 | ||||||||
\(910\) | 194.765 | − | 946.884i | 0.214028 | − | 1.04053i | ||||
\(911\) | 1600.04 | 1.75636 | 0.878179 | − | 0.478332i | \(-0.158758\pi\) | ||||
0.878179 | + | 0.478332i | \(0.158758\pi\) | |||||||
\(912\) | −518.466 | + | 428.108i | −0.568493 | + | 0.469417i | ||||
\(913\) | 192.188 | − | 110.960i | 0.210502 | − | 0.121533i | ||||
\(914\) | −47.6906 | + | 130.228i | −0.0521779 | + | 0.142481i | ||||
\(915\) | −209.832 | + | 363.440i | −0.229325 | + | 0.397202i | ||||
\(916\) | 126.544 | − | 701.448i | 0.138149 | − | 0.765773i | ||||
\(917\) | −235.374 | + | 597.228i | −0.256678 | + | 0.651284i | ||||
\(918\) | −176.531 | + | 147.533i | −0.192299 | + | 0.160712i | ||||
\(919\) | 262.042 | − | 453.871i | 0.285139 | − | 0.493875i | −0.687504 | − | 0.726180i | \(-0.741294\pi\) |
0.972643 | + | 0.232306i | \(0.0746270\pi\) | |||||||
\(920\) | −789.778 | − | 462.242i | −0.858454 | − | 0.502436i | ||||
\(921\) | −257.535 | − | 446.064i | −0.279626 | − | 0.484326i | ||||
\(922\) | −1513.20 | + | 263.736i | −1.64122 | + | 0.286048i | ||||
\(923\) | 322.372 | 0.349266 | ||||||||
\(924\) | −397.583 | − | 12.0522i | −0.430285 | − | 0.0130436i | ||||
\(925\) | − | 2117.53i | − | 2.28922i | ||||||
\(926\) | −425.027 | + | 74.0781i | −0.458992 | + | 0.0799980i | ||||
\(927\) | −533.618 | + | 308.084i | −0.575640 | + | 0.332346i | ||||
\(928\) | 418.910 | + | 358.618i | 0.451412 | + | 0.386442i | ||||
\(929\) | 551.791 | + | 318.577i | 0.593962 | + | 0.342924i | 0.766663 | − | 0.642050i | \(-0.221916\pi\) |
−0.172700 | + | 0.984974i | \(0.555249\pi\) | |||||||
\(930\) | 1601.45 | − | 1338.39i | 1.72199 | − | 1.43913i | ||||
\(931\) | 119.060 | − | 514.892i | 0.127884 | − | 0.553053i | ||||
\(932\) | −83.6577 | + | 463.723i | −0.0897615 | + | 0.497557i | ||||
\(933\) | −1560.31 | − | 900.844i | −1.67235 | − | 0.965534i | ||||
\(934\) | −19.9019 | + | 54.3456i | −0.0213082 | + | 0.0581859i | ||||
\(935\) | 169.180 | + | 293.029i | 0.180941 | + | 0.313400i | ||||
\(936\) | −2.28452 | + | 385.415i | −0.00244072 | + | 0.411768i | ||||
\(937\) | − | 383.587i | − | 0.409378i | −0.978827 | − | 0.204689i | \(-0.934382\pi\) | ||
0.978827 | − | 0.204689i | \(-0.0656182\pi\) | |||||||
\(938\) | 72.5094 | − | 81.6030i | 0.0773022 | − | 0.0869968i | ||||
\(939\) | 2205.50i | 2.34877i | ||||||||
\(940\) | 956.733 | − | 1131.08i | 1.01780 | − | 1.20328i | ||||
\(941\) | 130.295 | + | 225.678i | 0.138465 | + | 0.239828i | 0.926916 | − | 0.375270i | \(-0.122450\pi\) |
−0.788451 | + | 0.615098i | \(0.789117\pi\) | |||||||
\(942\) | 68.3850 | − | 186.737i | 0.0725955 | − | 0.198235i | ||||
\(943\) | 823.840 | + | 475.644i | 0.873637 | + | 0.504394i | ||||
\(944\) | −238.585 | − | 88.9794i | −0.252738 | − | 0.0942579i | ||||
\(945\) | −249.719 | + | 633.626i | −0.264252 | + | 0.670504i | ||||
\(946\) | 191.019 | + | 228.564i | 0.201923 | + | 0.241610i | ||||
\(947\) | −851.444 | − | 491.581i | −0.899096 | − | 0.519093i | −0.0221894 | − | 0.999754i | \(-0.507064\pi\) |
−0.876907 | + | 0.480660i | \(0.840397\pi\) | |||||||
\(948\) | 1038.31 | − | 373.274i | 1.09526 | − | 0.393749i | ||||
\(949\) | −604.827 | + | 349.197i | −0.637331 | + | 0.367963i | ||||
\(950\) | 1136.76 | − | 198.127i | 1.19659 | − | 0.208554i | ||||
\(951\) | − | 689.781i | − | 0.725322i | ||||||
\(952\) | −218.313 | + | 544.455i | −0.229320 | + | 0.571907i | ||||
\(953\) | −1137.60 | −1.19370 | −0.596851 | − | 0.802352i | \(-0.703582\pi\) | ||||
−0.596851 | + | 0.802352i | \(0.703582\pi\) | |||||||
\(954\) | 13.6106 | + | 78.0916i | 0.0142669 | + | 0.0818571i | ||||
\(955\) | 1440.78 | + | 2495.50i | 1.50867 | + | 2.61309i | ||||
\(956\) | 174.484 | − | 62.7274i | 0.182515 | − | 0.0656144i | ||||
\(957\) | 122.403 | − | 212.008i | 0.127903 | − | 0.221534i | ||||
\(958\) | 1232.23 | − | 1029.82i | 1.28625 | − | 1.07497i | ||||
\(959\) | 869.505 | + | 1093.51i | 0.906679 | + | 1.14026i | ||||
\(960\) | 1127.26 | − | 1900.09i | 1.17423 | − | 1.97926i | ||||
\(961\) | −23.5835 | + | 40.8479i | −0.0245406 | + | 0.0425056i | ||||
\(962\) | 579.394 | + | 212.180i | 0.602281 | + | 0.220561i | ||||
\(963\) | 503.275 | − | 290.566i | 0.522612 | − | 0.301730i | ||||
\(964\) | 947.062 | − | 1119.65i | 0.982430 | − | 1.16146i | ||||
\(965\) | 1768.75 | 1.83290 | ||||||||
\(966\) | −668.368 | + | 222.037i | −0.691893 | + | 0.229852i | ||||
\(967\) | −1296.35 | −1.34059 | −0.670297 | − | 0.742093i | \(-0.733833\pi\) | ||||
−0.670297 | + | 0.742093i | \(0.733833\pi\) | |||||||
\(968\) | 5.10731 | − | 861.641i | 0.00527615 | − | 0.890125i | ||||
\(969\) | 381.214 | − | 220.094i | 0.393410 | − | 0.227135i | ||||
\(970\) | −54.3436 | − | 19.9011i | −0.0560244 | − | 0.0205166i | ||||
\(971\) | −665.237 | + | 1152.22i | −0.685105 | + | 1.18664i | 0.288299 | + | 0.957540i | \(0.406910\pi\) |
−0.973404 | + | 0.229096i | \(0.926423\pi\) | |||||||
\(972\) | 202.147 | − | 1120.52i | 0.207971 | − | 1.15280i | ||||
\(973\) | 273.309 | − | 40.7980i | 0.280893 | − | 0.0419301i | ||||
\(974\) | 25.5534 | + | 30.5758i | 0.0262355 | + | 0.0313920i | ||||
\(975\) | 812.237 | − | 1406.84i | 0.833063 | − | 1.44291i | ||||
\(976\) | 32.2616 | + | 191.817i | 0.0330549 | + | 0.196534i | ||||
\(977\) | −693.081 | − | 1200.45i | −0.709397 | − | 1.22871i | −0.965081 | − | 0.261952i | \(-0.915634\pi\) |
0.255684 | − | 0.966760i | \(-0.417699\pi\) | |||||||
\(978\) | 257.035 | + | 1474.75i | 0.262817 | + | 1.50793i | ||||
\(979\) | 98.5153 | 0.100629 | ||||||||
\(980\) | 204.217 | + | 1724.45i | 0.208385 | + | 1.75964i | ||||
\(981\) | − | 1211.27i | − | 1.23473i | ||||||
\(982\) | 26.1680 | + | 150.140i | 0.0266476 | + | 0.152892i | ||||
\(983\) | −601.161 | + | 347.081i | −0.611558 | + | 0.353083i | −0.773575 | − | 0.633705i | \(-0.781533\pi\) |
0.162017 | + | 0.986788i | \(0.448200\pi\) | |||||||
\(984\) | −1160.10 | + | 1982.13i | −1.17897 | + | 2.01436i | ||||
\(985\) | 118.968 | + | 68.6861i | 0.120780 | + | 0.0697321i | ||||
\(986\) | −231.513 | − | 277.016i | −0.234800 | − | 0.280949i | ||||
\(987\) | −168.331 | − | 1127.66i | −0.170548 | − | 1.14251i | ||||
\(988\) | −59.6941 | + | 330.891i | −0.0604192 | + | 0.334910i | ||||
\(989\) | 456.757 | + | 263.709i | 0.461838 | + | 0.266642i | ||||
\(990\) | −374.999 | − | 137.328i | −0.378787 | − | 0.138715i | ||||
\(991\) | 467.257 | + | 809.312i | 0.471500 | + | 0.816662i | 0.999468 | − | 0.0326018i | \(-0.0103793\pi\) |
−0.527968 | + | 0.849264i | \(0.677046\pi\) | |||||||
\(992\) | 177.381 | − | 950.947i | 0.178812 | − | 0.958616i | ||||
\(993\) | 1933.22i | 1.94684i | ||||||||
\(994\) | −549.547 | + | 182.564i | −0.552865 | + | 0.183666i | ||||
\(995\) | − | 497.576i | − | 0.500076i | ||||||
\(996\) | 724.287 | + | 612.642i | 0.727195 | + | 0.615102i | ||||
\(997\) | −769.103 | − | 1332.12i | −0.771417 | − | 1.33613i | −0.936786 | − | 0.349902i | \(-0.886215\pi\) |
0.165370 | − | 0.986232i | \(-0.447118\pi\) | |||||||
\(998\) | −981.967 | − | 359.606i | −0.983935 | − | 0.360326i | ||||
\(999\) | −376.463 | − | 217.351i | −0.376840 | − | 0.217568i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 56.3.j.a.5.1 | ✓ | 28 | |
4.3 | odd | 2 | 224.3.n.a.145.13 | 28 | |||
7.2 | even | 3 | 392.3.h.a.293.20 | 28 | |||
7.3 | odd | 6 | inner | 56.3.j.a.45.10 | yes | 28 | |
7.4 | even | 3 | 392.3.j.e.325.10 | 28 | |||
7.5 | odd | 6 | 392.3.h.a.293.19 | 28 | |||
7.6 | odd | 2 | 392.3.j.e.117.1 | 28 | |||
8.3 | odd | 2 | 224.3.n.a.145.2 | 28 | |||
8.5 | even | 2 | inner | 56.3.j.a.5.10 | yes | 28 | |
28.3 | even | 6 | 224.3.n.a.17.2 | 28 | |||
28.19 | even | 6 | 1568.3.h.a.881.26 | 28 | |||
28.23 | odd | 6 | 1568.3.h.a.881.4 | 28 | |||
56.3 | even | 6 | 224.3.n.a.17.13 | 28 | |||
56.5 | odd | 6 | 392.3.h.a.293.18 | 28 | |||
56.13 | odd | 2 | 392.3.j.e.117.10 | 28 | |||
56.19 | even | 6 | 1568.3.h.a.881.3 | 28 | |||
56.37 | even | 6 | 392.3.h.a.293.17 | 28 | |||
56.45 | odd | 6 | inner | 56.3.j.a.45.1 | yes | 28 | |
56.51 | odd | 6 | 1568.3.h.a.881.25 | 28 | |||
56.53 | even | 6 | 392.3.j.e.325.1 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.j.a.5.1 | ✓ | 28 | 1.1 | even | 1 | trivial | |
56.3.j.a.5.10 | yes | 28 | 8.5 | even | 2 | inner | |
56.3.j.a.45.1 | yes | 28 | 56.45 | odd | 6 | inner | |
56.3.j.a.45.10 | yes | 28 | 7.3 | odd | 6 | inner | |
224.3.n.a.17.2 | 28 | 28.3 | even | 6 | |||
224.3.n.a.17.13 | 28 | 56.3 | even | 6 | |||
224.3.n.a.145.2 | 28 | 8.3 | odd | 2 | |||
224.3.n.a.145.13 | 28 | 4.3 | odd | 2 | |||
392.3.h.a.293.17 | 28 | 56.37 | even | 6 | |||
392.3.h.a.293.18 | 28 | 56.5 | odd | 6 | |||
392.3.h.a.293.19 | 28 | 7.5 | odd | 6 | |||
392.3.h.a.293.20 | 28 | 7.2 | even | 3 | |||
392.3.j.e.117.1 | 28 | 7.6 | odd | 2 | |||
392.3.j.e.117.10 | 28 | 56.13 | odd | 2 | |||
392.3.j.e.325.1 | 28 | 56.53 | even | 6 | |||
392.3.j.e.325.10 | 28 | 7.4 | even | 3 | |||
1568.3.h.a.881.3 | 28 | 56.19 | even | 6 | |||
1568.3.h.a.881.4 | 28 | 28.23 | odd | 6 | |||
1568.3.h.a.881.25 | 28 | 56.51 | odd | 6 | |||
1568.3.h.a.881.26 | 28 | 28.19 | even | 6 |